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Finding the Third Proportional to 20,952 and 31,428

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Solution

The third proportional to 20,952 and 31,428 is: 47,142

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952 : 31,428 = 31,428 : x
  2. Step 2: Convert to fraction form
    20,952/31,428 = 31,428/x
  3. Step 3: Cross multiply
    20,952x = 31,428 × 31,428
  4. Step 4: Simplify right side
    20,952x = 987,719,184
  5. Step 5: Solve for x
    x = 987,719,184/20,952
  6. Step 6: Final answer
    x = 47,142

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.