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Finding the Third Proportional to 72,375 and 157,129

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Solution

The third proportional to 72,375 and 157,129 is: 341,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,375 : 157,129 = 157,129 : x
  2. Step 2: Convert to fraction form
    72,375/157,129 = 157,129/x
  3. Step 3: Cross multiply
    72,375x = 157,129 × 157,129
  4. Step 4: Simplify right side
    72,375x = 24,689,522,641
  5. Step 5: Solve for x
    x = 24,689,522,641/72,375
  6. Step 6: Final answer
    x = 341,133.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.