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Finding the Third Proportional to 260,042 and 412,612

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Solution

The third proportional to 260,042 and 412,612 is: 654,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042 : 412,612 = 412,612 : x
  2. Step 2: Convert to fraction form
    260,042/412,612 = 412,612/x
  3. Step 3: Cross multiply
    260,042x = 412,612 × 412,612
  4. Step 4: Simplify right side
    260,042x = 170,248,662,544
  5. Step 5: Solve for x
    x = 170,248,662,544/260,042
  6. Step 6: Final answer
    x = 654,696.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.