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Finding the Third Proportional to 55,850 and 85,091

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Solution

The third proportional to 55,850 and 85,091 is: 129,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,850 : 85,091 = 85,091 : x
  2. Step 2: Convert to fraction form
    55,850/85,091 = 85,091/x
  3. Step 3: Cross multiply
    55,850x = 85,091 × 85,091
  4. Step 4: Simplify right side
    55,850x = 7,240,478,281
  5. Step 5: Solve for x
    x = 7,240,478,281/55,850
  6. Step 6: Final answer
    x = 129,641.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.