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Finding the Third Proportional to 434,787 and 571,743

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Solution

The third proportional to 434,787 and 571,743 is: 751,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,787 : 571,743 = 571,743 : x
  2. Step 2: Convert to fraction form
    434,787/571,743 = 571,743/x
  3. Step 3: Cross multiply
    434,787x = 571,743 × 571,743
  4. Step 4: Simplify right side
    434,787x = 326,890,058,049
  5. Step 5: Solve for x
    x = 326,890,058,049/434,787
  6. Step 6: Final answer
    x = 751,839.54

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.