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Finding the Third Proportional to 72,324 and 149,292

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Solution

The third proportional to 72,324 and 149,292 is: 308,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,324 : 149,292 = 149,292 : x
  2. Step 2: Convert to fraction form
    72,324/149,292 = 149,292/x
  3. Step 3: Cross multiply
    72,324x = 149,292 × 149,292
  4. Step 4: Simplify right side
    72,324x = 22,288,101,264
  5. Step 5: Solve for x
    x = 22,288,101,264/72,324
  6. Step 6: Final answer
    x = 308,170.20

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.