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Finding the Third Proportional to 89,294 and 121,272

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Solution

The third proportional to 89,294 and 121,272 is: 164,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,294 : 121,272 = 121,272 : x
  2. Step 2: Convert to fraction form
    89,294/121,272 = 121,272/x
  3. Step 3: Cross multiply
    89,294x = 121,272 × 121,272
  4. Step 4: Simplify right side
    89,294x = 14,706,897,984
  5. Step 5: Solve for x
    x = 14,706,897,984/89,294
  6. Step 6: Final answer
    x = 164,701.97

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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.