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Finding the Third Proportional to 311,681 and 415,965

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Solution

The third proportional to 311,681 and 415,965 is: 555,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,681 : 415,965 = 415,965 : x
  2. Step 2: Convert to fraction form
    311,681/415,965 = 415,965/x
  3. Step 3: Cross multiply
    311,681x = 415,965 × 415,965
  4. Step 4: Simplify right side
    311,681x = 173,026,881,225
  5. Step 5: Solve for x
    x = 173,026,881,225/311,681
  6. Step 6: Final answer
    x = 555,140.93

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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.