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Finding the Third Proportional to 256,332 and 560,915

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Solution

The third proportional to 256,332 and 560,915 is: 1,227,414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,332 : 560,915 = 560,915 : x
  2. Step 2: Convert to fraction form
    256,332/560,915 = 560,915/x
  3. Step 3: Cross multiply
    256,332x = 560,915 × 560,915
  4. Step 4: Simplify right side
    256,332x = 314,625,637,225
  5. Step 5: Solve for x
    x = 314,625,637,225/256,332
  6. Step 6: Final answer
    x = 1,227,414.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.