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Finding the Third Proportional to 42,981 and 66,417

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Solution

The third proportional to 42,981 and 66,417 is: 102,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,981 : 66,417 = 66,417 : x
  2. Step 2: Convert to fraction form
    42,981/66,417 = 66,417/x
  3. Step 3: Cross multiply
    42,981x = 66,417 × 66,417
  4. Step 4: Simplify right side
    42,981x = 4,411,217,889
  5. Step 5: Solve for x
    x = 4,411,217,889/42,981
  6. Step 6: Final answer
    x = 102,631.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.