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Finding the Third Proportional to 424,736,154,938 and 910,055,122,492

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Solution

The third proportional to 424,736,154,938 and 910,055,122,492 is: 1,949,917,181,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,736,154,938 : 910,055,122,492 = 910,055,122,492 : x
  2. Step 2: Convert to fraction form
    424,736,154,938/910,055,122,492 = 910,055,122,492/x
  3. Step 3: Cross multiply
    424,736,154,938x = 910,055,122,492 × 910,055,122,492
  4. Step 4: Simplify right side
    424,736,154,938x = 828,200,325,973,929,139,109,888
  5. Step 5: Solve for x
    x = 828,200,325,973,929,139,109,888/424,736,154,938
  6. Step 6: Final answer
    x = 1,949,917,181,161.15

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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.