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Finding the Third Proportional to 502,782 and 703,294

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Solution

The third proportional to 502,782 and 703,294 is: 983,771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,782 : 703,294 = 703,294 : x
  2. Step 2: Convert to fraction form
    502,782/703,294 = 703,294/x
  3. Step 3: Cross multiply
    502,782x = 703,294 × 703,294
  4. Step 4: Simplify right side
    502,782x = 494,622,450,436
  5. Step 5: Solve for x
    x = 494,622,450,436/502,782
  6. Step 6: Final answer
    x = 983,771.20

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