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Finding the Third Proportional to 29,605 and 63,421

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Solution

The third proportional to 29,605 and 63,421 is: 135,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,605 : 63,421 = 63,421 : x
  2. Step 2: Convert to fraction form
    29,605/63,421 = 63,421/x
  3. Step 3: Cross multiply
    29,605x = 63,421 × 63,421
  4. Step 4: Simplify right side
    29,605x = 4,022,223,241
  5. Step 5: Solve for x
    x = 4,022,223,241/29,605
  6. Step 6: Final answer
    x = 135,862.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.