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Finding the Third Proportional to 379,726 and 808,530

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Solution

The third proportional to 379,726 and 808,530 is: 1,721,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,726 : 808,530 = 808,530 : x
  2. Step 2: Convert to fraction form
    379,726/808,530 = 808,530/x
  3. Step 3: Cross multiply
    379,726x = 808,530 × 808,530
  4. Step 4: Simplify right side
    379,726x = 653,720,760,900
  5. Step 5: Solve for x
    x = 653,720,760,900/379,726
  6. Step 6: Final answer
    x = 1,721,559.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.