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Finding the Third Proportional to 96,433.50 and 144,555

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Solution

The third proportional to 96,433.50 and 144,555 is: 216,689.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,433.50 : 144,555 = 144,555 : x
  2. Step 2: Convert to fraction form
    96,433.50/144,555 = 144,555/x
  3. Step 3: Cross multiply
    96,433.50x = 144,555 × 144,555
  4. Step 4: Simplify right side
    96,433.50x = 20,896,148,025
  5. Step 5: Solve for x
    x = 20,896,148,025/96,433.50
  6. Step 6: Final answer
    x = 216,689.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.