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Finding the Third Proportional to 72,138 and 157,398

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Solution

The third proportional to 72,138 and 157,398 is: 343,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,138 : 157,398 = 157,398 : x
  2. Step 2: Convert to fraction form
    72,138/157,398 = 157,398/x
  3. Step 3: Cross multiply
    72,138x = 157,398 × 157,398
  4. Step 4: Simplify right side
    72,138x = 24,774,130,404
  5. Step 5: Solve for x
    x = 24,774,130,404/72,138
  6. Step 6: Final answer
    x = 343,426.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.