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Finding the Third Proportional to 602,272 and 802,936

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Solution

The third proportional to 602,272 and 802,936 is: 1,070,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,272 : 802,936 = 802,936 : x
  2. Step 2: Convert to fraction form
    602,272/802,936 = 802,936/x
  3. Step 3: Cross multiply
    602,272x = 802,936 × 802,936
  4. Step 4: Simplify right side
    602,272x = 644,706,220,096
  5. Step 5: Solve for x
    x = 644,706,220,096/602,272
  6. Step 6: Final answer
    x = 1,070,456.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.