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Finding the Third Proportional to 61,020 and 91,692

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Solution

The third proportional to 61,020 and 91,692 is: 137,781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,020 : 91,692 = 91,692 : x
  2. Step 2: Convert to fraction form
    61,020/91,692 = 91,692/x
  3. Step 3: Cross multiply
    61,020x = 91,692 × 91,692
  4. Step 4: Simplify right side
    61,020x = 8,407,422,864
  5. Step 5: Solve for x
    x = 8,407,422,864/61,020
  6. Step 6: Final answer
    x = 137,781.43

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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.