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Finding the Third Proportional to 489,862 and 693,345

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Solution

The third proportional to 489,862 and 693,345 is: 981,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,862 : 693,345 = 693,345 : x
  2. Step 2: Convert to fraction form
    489,862/693,345 = 693,345/x
  3. Step 3: Cross multiply
    489,862x = 693,345 × 693,345
  4. Step 4: Simplify right side
    489,862x = 480,727,289,025
  5. Step 5: Solve for x
    x = 480,727,289,025/489,862
  6. Step 6: Final answer
    x = 981,352.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.