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Finding the Third Proportional to 317,846 and 661,828

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Solution

The third proportional to 317,846 and 661,828 is: 1,378,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,846 : 661,828 = 661,828 : x
  2. Step 2: Convert to fraction form
    317,846/661,828 = 661,828/x
  3. Step 3: Cross multiply
    317,846x = 661,828 × 661,828
  4. Step 4: Simplify right side
    317,846x = 438,016,301,584
  5. Step 5: Solve for x
    x = 438,016,301,584/317,846
  6. Step 6: Final answer
    x = 1,378,077.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.