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Finding the Third Proportional to 103,421.18 and 158,138.89

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Solution

The third proportional to 103,421.18 and 158,138.89 is: 241,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,421.18 : 158,138.89 = 158,138.89 : x
  2. Step 2: Convert to fraction form
    103,421.18/158,138.89 = 158,138.89/x
  3. Step 3: Cross multiply
    103,421.18x = 158,138.89 × 158,138.89
  4. Step 4: Simplify right side
    103,421.18x = 25,007,909,963.57
  5. Step 5: Solve for x
    x = 25,007,909,963.57/103,421.18
  6. Step 6: Final answer
    x = 241,806.47

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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.