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Finding the Third Proportional to 100,308.38 and 155,818.69

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Solution

The third proportional to 100,308.38 and 155,818.69 is: 242,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,308.38 : 155,818.69 = 155,818.69 : x
  2. Step 2: Convert to fraction form
    100,308.38/155,818.69 = 155,818.69/x
  3. Step 3: Cross multiply
    100,308.38x = 155,818.69 × 155,818.69
  4. Step 4: Simplify right side
    100,308.38x = 24,279,463,374.22
  5. Step 5: Solve for x
    x = 24,279,463,374.22/100,308.38
  6. Step 6: Final answer
    x = 242,048.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.