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Finding the Third Proportional to 55,134 and 87,417

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Solution

The third proportional to 55,134 and 87,417 is: 138,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,134 : 87,417 = 87,417 : x
  2. Step 2: Convert to fraction form
    55,134/87,417 = 87,417/x
  3. Step 3: Cross multiply
    55,134x = 87,417 × 87,417
  4. Step 4: Simplify right side
    55,134x = 7,641,731,889
  5. Step 5: Solve for x
    x = 7,641,731,889/55,134
  6. Step 6: Final answer
    x = 138,602.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.