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Finding the Third Proportional to 685,718 and 1,497,917

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Solution

The third proportional to 685,718 and 1,497,917 is: 3,272,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,718 : 1,497,917 = 1,497,917 : x
  2. Step 2: Convert to fraction form
    685,718/1,497,917 = 1,497,917/x
  3. Step 3: Cross multiply
    685,718x = 1,497,917 × 1,497,917
  4. Step 4: Simplify right side
    685,718x = 2,243,755,338,889
  5. Step 5: Solve for x
    x = 2,243,755,338,889/685,718
  6. Step 6: Final answer
    x = 3,272,125.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.