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Finding the Third Proportional to 312,624 and 646,686

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Solution

The third proportional to 312,624 and 646,686 is: 1,337,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,624 : 646,686 = 646,686 : x
  2. Step 2: Convert to fraction form
    312,624/646,686 = 646,686/x
  3. Step 3: Cross multiply
    312,624x = 646,686 × 646,686
  4. Step 4: Simplify right side
    312,624x = 418,202,782,596
  5. Step 5: Solve for x
    x = 418,202,782,596/312,624
  6. Step 6: Final answer
    x = 1,337,718.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.