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Finding the Third Proportional to 502,781 and 703,292

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Solution

The third proportional to 502,781 and 703,292 is: 983,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,781 : 703,292 = 703,292 : x
  2. Step 2: Convert to fraction form
    502,781/703,292 = 703,292/x
  3. Step 3: Cross multiply
    502,781x = 703,292 × 703,292
  4. Step 4: Simplify right side
    502,781x = 494,619,637,264
  5. Step 5: Solve for x
    x = 494,619,637,264/502,781
  6. Step 6: Final answer
    x = 983,767.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.