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Finding the Third Proportional to 439,790 and 658,532

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Solution

The third proportional to 439,790 and 658,532 is: 986,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,790 : 658,532 = 658,532 : x
  2. Step 2: Convert to fraction form
    439,790/658,532 = 658,532/x
  3. Step 3: Cross multiply
    439,790x = 658,532 × 658,532
  4. Step 4: Simplify right side
    439,790x = 433,664,395,024
  5. Step 5: Solve for x
    x = 433,664,395,024/439,790
  6. Step 6: Final answer
    x = 986,071.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.