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Finding the Third Proportional to 439,782 and 658,521

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Solution

The third proportional to 439,782 and 658,521 is: 986,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,782 : 658,521 = 658,521 : x
  2. Step 2: Convert to fraction form
    439,782/658,521 = 658,521/x
  3. Step 3: Cross multiply
    439,782x = 658,521 × 658,521
  4. Step 4: Simplify right side
    439,782x = 433,649,907,441
  5. Step 5: Solve for x
    x = 433,649,907,441/439,782
  6. Step 6: Final answer
    x = 986,056.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.