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Finding the Third Proportional to 313,681 and 471,231

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Solution

The third proportional to 313,681 and 471,231 is: 707,912.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,681 : 471,231 = 471,231 : x
  2. Step 2: Convert to fraction form
    313,681/471,231 = 471,231/x
  3. Step 3: Cross multiply
    313,681x = 471,231 × 471,231
  4. Step 4: Simplify right side
    313,681x = 222,058,655,361
  5. Step 5: Solve for x
    x = 222,058,655,361/313,681
  6. Step 6: Final answer
    x = 707,912.35

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