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Finding the Third Proportional to 20,970 and 29,877

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Solution

The third proportional to 20,970 and 29,877 is: 42,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,970 : 29,877 = 29,877 : x
  2. Step 2: Convert to fraction form
    20,970/29,877 = 29,877/x
  3. Step 3: Cross multiply
    20,970x = 29,877 × 29,877
  4. Step 4: Simplify right side
    20,970x = 892,635,129
  5. Step 5: Solve for x
    x = 892,635,129/20,970
  6. Step 6: Final answer
    x = 42,567.25

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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.