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Finding the Third Proportional to 55,221 and 87,580

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Solution

The third proportional to 55,221 and 87,580 is: 138,901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,221 : 87,580 = 87,580 : x
  2. Step 2: Convert to fraction form
    55,221/87,580 = 87,580/x
  3. Step 3: Cross multiply
    55,221x = 87,580 × 87,580
  4. Step 4: Simplify right side
    55,221x = 7,670,256,400
  5. Step 5: Solve for x
    x = 7,670,256,400/55,221
  6. Step 6: Final answer
    x = 138,901.08

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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.