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Finding the Third Proportional to 120,663.75 and 158,673.38

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Solution

The third proportional to 120,663.75 and 158,673.38 is: 208,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,663.75 : 158,673.38 = 158,673.38 : x
  2. Step 2: Convert to fraction form
    120,663.75/158,673.38 = 158,673.38/x
  3. Step 3: Cross multiply
    120,663.75x = 158,673.38 × 158,673.38
  4. Step 4: Simplify right side
    120,663.75x = 25,177,239,933.89
  5. Step 5: Solve for x
    x = 25,177,239,933.89/120,663.75
  6. Step 6: Final answer
    x = 208,656.20

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.