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Finding the Third Proportional to 21,022.50 and 29,931

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Solution

The third proportional to 21,022.50 and 29,931 is: 42,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022.50 : 29,931 = 29,931 : x
  2. Step 2: Convert to fraction form
    21,022.50/29,931 = 29,931/x
  3. Step 3: Cross multiply
    21,022.50x = 29,931 × 29,931
  4. Step 4: Simplify right side
    21,022.50x = 895,864,761
  5. Step 5: Solve for x
    x = 895,864,761/21,022.50
  6. Step 6: Final answer
    x = 42,614.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.