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Finding the Third Proportional to 20,070 and 31,569

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Solution

The third proportional to 20,070 and 31,569 is: 49,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,070 : 31,569 = 31,569 : x
  2. Step 2: Convert to fraction form
    20,070/31,569 = 31,569/x
  3. Step 3: Cross multiply
    20,070x = 31,569 × 31,569
  4. Step 4: Simplify right side
    20,070x = 996,601,761
  5. Step 5: Solve for x
    x = 996,601,761/20,070
  6. Step 6: Final answer
    x = 49,656.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.