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Finding the Third Proportional to 256,469 and 402,309

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Solution

The third proportional to 256,469 and 402,309 is: 631,080.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,469 : 402,309 = 402,309 : x
  2. Step 2: Convert to fraction form
    256,469/402,309 = 402,309/x
  3. Step 3: Cross multiply
    256,469x = 402,309 × 402,309
  4. Step 4: Simplify right side
    256,469x = 161,852,531,481
  5. Step 5: Solve for x
    x = 161,852,531,481/256,469
  6. Step 6: Final answer
    x = 631,080.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.