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Finding the Third Proportional to 103,430.25 and 158,115.38

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Solution

The third proportional to 103,430.25 and 158,115.38 is: 241,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,430.25 : 158,115.38 = 158,115.38 : x
  2. Step 2: Convert to fraction form
    103,430.25/158,115.38 = 158,115.38/x
  3. Step 3: Cross multiply
    103,430.25x = 158,115.38 × 158,115.38
  4. Step 4: Simplify right side
    103,430.25x = 25,000,471,811.39
  5. Step 5: Solve for x
    x = 25,000,471,811.39/103,430.25
  6. Step 6: Final answer
    x = 241,713.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.