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Finding the Third Proportional to 312,626 and 646,690

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Solution

The third proportional to 312,626 and 646,690 is: 1,337,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,626 : 646,690 = 646,690 : x
  2. Step 2: Convert to fraction form
    312,626/646,690 = 646,690/x
  3. Step 3: Cross multiply
    312,626x = 646,690 × 646,690
  4. Step 4: Simplify right side
    312,626x = 418,207,956,100
  5. Step 5: Solve for x
    x = 418,207,956,100/312,626
  6. Step 6: Final answer
    x = 1,337,726.09

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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.