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Finding the Third Proportional to 61,711 and 133,040

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Solution

The third proportional to 61,711 and 133,040 is: 286,815.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,711 : 133,040 = 133,040 : x
  2. Step 2: Convert to fraction form
    61,711/133,040 = 133,040/x
  3. Step 3: Cross multiply
    61,711x = 133,040 × 133,040
  4. Step 4: Simplify right side
    61,711x = 17,699,641,600
  5. Step 5: Solve for x
    x = 17,699,641,600/61,711
  6. Step 6: Final answer
    x = 286,815.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.