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Finding the Third Proportional to 20,308 and 31,567

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Solution

The third proportional to 20,308 and 31,567 is: 49,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,308 : 31,567 = 31,567 : x
  2. Step 2: Convert to fraction form
    20,308/31,567 = 31,567/x
  3. Step 3: Cross multiply
    20,308x = 31,567 × 31,567
  4. Step 4: Simplify right side
    20,308x = 996,475,489
  5. Step 5: Solve for x
    x = 996,475,489/20,308
  6. Step 6: Final answer
    x = 49,068.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.