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Finding the Third Proportional to 103,691.50 and 211,756.50

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Solution

The third proportional to 103,691.50 and 211,756.50 is: 432,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,691.50 : 211,756.50 = 211,756.50 : x
  2. Step 2: Convert to fraction form
    103,691.50/211,756.50 = 211,756.50/x
  3. Step 3: Cross multiply
    103,691.50x = 211,756.50 × 211,756.50
  4. Step 4: Simplify right side
    103,691.50x = 44,840,815,292.25
  5. Step 5: Solve for x
    x = 44,840,815,292.25/103,691.50
  6. Step 6: Final answer
    x = 432,444.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.