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Finding the Third Proportional to 153,535.50 and 332,220.38

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Solution

The third proportional to 153,535.50 and 332,220.38 is: 718,859.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,535.50 : 332,220.38 = 332,220.38 : x
  2. Step 2: Convert to fraction form
    153,535.50/332,220.38 = 332,220.38/x
  3. Step 3: Cross multiply
    153,535.50x = 332,220.38 × 332,220.38
  4. Step 4: Simplify right side
    153,535.50x = 110,370,377,565.14
  5. Step 5: Solve for x
    x = 110,370,377,565.14/153,535.50
  6. Step 6: Final answer
    x = 718,859.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.