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Finding the Third Proportional to 89,307 and 121,287

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Solution

The third proportional to 89,307 and 121,287 is: 164,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,307 : 121,287 = 121,287 : x
  2. Step 2: Convert to fraction form
    89,307/121,287 = 121,287/x
  3. Step 3: Cross multiply
    89,307x = 121,287 × 121,287
  4. Step 4: Simplify right side
    89,307x = 14,710,536,369
  5. Step 5: Solve for x
    x = 14,710,536,369/89,307
  6. Step 6: Final answer
    x = 164,718.74

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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.