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Finding the Third Proportional to 489,730.50 and 693,204.75

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Solution

The third proportional to 489,730.50 and 693,204.75 is: 981,218.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,730.50 : 693,204.75 = 693,204.75 : x
  2. Step 2: Convert to fraction form
    489,730.50/693,204.75 = 693,204.75/x
  3. Step 3: Cross multiply
    489,730.50x = 693,204.75 × 693,204.75
  4. Step 4: Simplify right side
    489,730.50x = 480,532,825,422.56
  5. Step 5: Solve for x
    x = 480,532,825,422.56/489,730.50
  6. Step 6: Final answer
    x = 981,218.91

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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.