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Finding the Third Proportional to 20,487.47 and 31,641.09

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Solution

The third proportional to 20,487.47 and 31,641.09 is: 48,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,487.47 : 31,641.09 = 31,641.09 : x
  2. Step 2: Convert to fraction form
    20,487.47/31,641.09 = 31,641.09/x
  3. Step 3: Cross multiply
    20,487.47x = 31,641.09 × 31,641.09
  4. Step 4: Simplify right side
    20,487.47x = 1,001,158,813.70
  5. Step 5: Solve for x
    x = 1,001,158,813.70/20,487.47
  6. Step 6: Final answer
    x = 48,866.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.