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Finding the Third Proportional to 31,461 and 68,646

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Solution

The third proportional to 31,461 and 68,646 is: 149,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461 : 68,646 = 68,646 : x
  2. Step 2: Convert to fraction form
    31,461/68,646 = 68,646/x
  3. Step 3: Cross multiply
    31,461x = 68,646 × 68,646
  4. Step 4: Simplify right side
    31,461x = 4,712,273,316
  5. Step 5: Solve for x
    x = 4,712,273,316/31,461
  6. Step 6: Final answer
    x = 149,781.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.