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Finding the Third Proportional to 83,133.84 and 121,753.13

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Solution

The third proportional to 83,133.84 and 121,753.13 is: 178,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,133.84 : 121,753.13 = 121,753.13 : x
  2. Step 2: Convert to fraction form
    83,133.84/121,753.13 = 121,753.13/x
  3. Step 3: Cross multiply
    83,133.84x = 121,753.13 × 121,753.13
  4. Step 4: Simplify right side
    83,133.84x = 14,823,823,447.27
  5. Step 5: Solve for x
    x = 14,823,823,447.27/83,133.84
  6. Step 6: Final answer
    x = 178,312.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.