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Finding the Third Proportional to 89,138.81 and 185,689.13

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Solution

The third proportional to 89,138.81 and 185,689.13 is: 386,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,138.81 : 185,689.13 = 185,689.13 : x
  2. Step 2: Convert to fraction form
    89,138.81/185,689.13 = 185,689.13/x
  3. Step 3: Cross multiply
    89,138.81x = 185,689.13 × 185,689.13
  4. Step 4: Simplify right side
    89,138.81x = 34,480,451,143.27
  5. Step 5: Solve for x
    x = 34,480,451,143.27/89,138.81
  6. Step 6: Final answer
    x = 386,817.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.