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Finding the Third Proportional to 100,615.50 and 207,612

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Solution

The third proportional to 100,615.50 and 207,612 is: 428,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,615.50 : 207,612 = 207,612 : x
  2. Step 2: Convert to fraction form
    100,615.50/207,612 = 207,612/x
  3. Step 3: Cross multiply
    100,615.50x = 207,612 × 207,612
  4. Step 4: Simplify right side
    100,615.50x = 43,102,742,544
  5. Step 5: Solve for x
    x = 43,102,742,544/100,615.50
  6. Step 6: Final answer
    x = 428,390.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.