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Finding the Third Proportional to 72,342 and 115,077

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Solution

The third proportional to 72,342 and 115,077 is: 183,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,342 : 115,077 = 115,077 : x
  2. Step 2: Convert to fraction form
    72,342/115,077 = 115,077/x
  3. Step 3: Cross multiply
    72,342x = 115,077 × 115,077
  4. Step 4: Simplify right side
    72,342x = 13,242,715,929
  5. Step 5: Solve for x
    x = 13,242,715,929/72,342
  6. Step 6: Final answer
    x = 183,057.09

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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.