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Finding the Third Proportional to 96,450 and 144,578

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Solution

The third proportional to 96,450 and 144,578 is: 216,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,450 : 144,578 = 144,578 : x
  2. Step 2: Convert to fraction form
    96,450/144,578 = 144,578/x
  3. Step 3: Cross multiply
    96,450x = 144,578 × 144,578
  4. Step 4: Simplify right side
    96,450x = 20,902,798,084
  5. Step 5: Solve for x
    x = 20,902,798,084/96,450
  6. Step 6: Final answer
    x = 216,721.60

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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.