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Finding the Third Proportional to 72,150 and 98,289

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Solution

The third proportional to 72,150 and 98,289 is: 133,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,150 : 98,289 = 98,289 : x
  2. Step 2: Convert to fraction form
    72,150/98,289 = 98,289/x
  3. Step 3: Cross multiply
    72,150x = 98,289 × 98,289
  4. Step 4: Simplify right side
    72,150x = 9,660,727,521
  5. Step 5: Solve for x
    x = 9,660,727,521/72,150
  6. Step 6: Final answer
    x = 133,897.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.