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Finding the Third Proportional to 318,659 and 693,514

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Solution

The third proportional to 318,659 and 693,514 is: 1,509,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,659 : 693,514 = 693,514 : x
  2. Step 2: Convert to fraction form
    318,659/693,514 = 693,514/x
  3. Step 3: Cross multiply
    318,659x = 693,514 × 693,514
  4. Step 4: Simplify right side
    318,659x = 480,961,668,196
  5. Step 5: Solve for x
    x = 480,961,668,196/318,659
  6. Step 6: Final answer
    x = 1,509,330.25

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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.