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Finding the Third Proportional to 96,109.50 and 153,048

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Solution

The third proportional to 96,109.50 and 153,048 is: 243,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,109.50 : 153,048 = 153,048 : x
  2. Step 2: Convert to fraction form
    96,109.50/153,048 = 153,048/x
  3. Step 3: Cross multiply
    96,109.50x = 153,048 × 153,048
  4. Step 4: Simplify right side
    96,109.50x = 23,423,690,304
  5. Step 5: Solve for x
    x = 23,423,690,304/96,109.50
  6. Step 6: Final answer
    x = 243,718.78

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.