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Finding the Third Proportional to 96,045.75 and 150,675.19

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Solution

The third proportional to 96,045.75 and 150,675.19 is: 236,377.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,045.75 : 150,675.19 = 150,675.19 : x
  2. Step 2: Convert to fraction form
    96,045.75/150,675.19 = 150,675.19/x
  3. Step 3: Cross multiply
    96,045.75x = 150,675.19 × 150,675.19
  4. Step 4: Simplify right side
    96,045.75x = 22,703,012,128.16
  5. Step 5: Solve for x
    x = 22,703,012,128.16/96,045.75
  6. Step 6: Final answer
    x = 236,377.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.