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Finding the Third Proportional to 95,602 and 151,840

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Solution

The third proportional to 95,602 and 151,840 is: 241,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,602 : 151,840 = 151,840 : x
  2. Step 2: Convert to fraction form
    95,602/151,840 = 151,840/x
  3. Step 3: Cross multiply
    95,602x = 151,840 × 151,840
  4. Step 4: Simplify right side
    95,602x = 23,055,385,600
  5. Step 5: Solve for x
    x = 23,055,385,600/95,602
  6. Step 6: Final answer
    x = 241,160.08

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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.