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Finding the Third Proportional to 20,657 and 29,507

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Solution

The third proportional to 20,657 and 29,507 is: 42,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657 : 29,507 = 29,507 : x
  2. Step 2: Convert to fraction form
    20,657/29,507 = 29,507/x
  3. Step 3: Cross multiply
    20,657x = 29,507 × 29,507
  4. Step 4: Simplify right side
    20,657x = 870,663,049
  5. Step 5: Solve for x
    x = 870,663,049/20,657
  6. Step 6: Final answer
    x = 42,148.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.