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Finding the Third Proportional to 431,982 and 581,532

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Solution

The third proportional to 431,982 and 581,532 is: 782,855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,982 : 581,532 = 581,532 : x
  2. Step 2: Convert to fraction form
    431,982/581,532 = 581,532/x
  3. Step 3: Cross multiply
    431,982x = 581,532 × 581,532
  4. Step 4: Simplify right side
    431,982x = 338,179,467,024
  5. Step 5: Solve for x
    x = 338,179,467,024/431,982
  6. Step 6: Final answer
    x = 782,855.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.