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Finding the Third Proportional to 377,543,644,278 and 808,938,680,556

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Solution

The third proportional to 377,543,644,278 and 808,938,680,556 is: 1,733,261,303,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,543,644,278 : 808,938,680,556 = 808,938,680,556 : x
  2. Step 2: Convert to fraction form
    377,543,644,278/808,938,680,556 = 808,938,680,556/x
  3. Step 3: Cross multiply
    377,543,644,278x = 808,938,680,556 × 808,938,680,556
  4. Step 4: Simplify right side
    377,543,644,278x = 654,381,788,899,682,241,478,656
  5. Step 5: Solve for x
    x = 654,381,788,899,682,241,478,656/377,543,644,278
  6. Step 6: Final answer
    x = 1,733,261,303,209.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.