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Finding the Third Proportional to 55,211 and 87,461

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Solution

The third proportional to 55,211 and 87,461 is: 138,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,211 : 87,461 = 87,461 : x
  2. Step 2: Convert to fraction form
    55,211/87,461 = 87,461/x
  3. Step 3: Cross multiply
    55,211x = 87,461 × 87,461
  4. Step 4: Simplify right side
    55,211x = 7,649,426,521
  5. Step 5: Solve for x
    x = 7,649,426,521/55,211
  6. Step 6: Final answer
    x = 138,548.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.