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Finding the Third Proportional to 61,478 and 132,644

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Solution

The third proportional to 61,478 and 132,644 is: 286,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,478 : 132,644 = 132,644 : x
  2. Step 2: Convert to fraction form
    61,478/132,644 = 132,644/x
  3. Step 3: Cross multiply
    61,478x = 132,644 × 132,644
  4. Step 4: Simplify right side
    61,478x = 17,594,430,736
  5. Step 5: Solve for x
    x = 17,594,430,736/61,478
  6. Step 6: Final answer
    x = 286,190.68

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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.