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Finding the Third Proportional to 686,976 and 1,488,306

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Solution

The third proportional to 686,976 and 1,488,306 is: 3,224,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,976 : 1,488,306 = 1,488,306 : x
  2. Step 2: Convert to fraction form
    686,976/1,488,306 = 1,488,306/x
  3. Step 3: Cross multiply
    686,976x = 1,488,306 × 1,488,306
  4. Step 4: Simplify right side
    686,976x = 2,215,054,749,636
  5. Step 5: Solve for x
    x = 2,215,054,749,636/686,976
  6. Step 6: Final answer
    x = 3,224,355.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.