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Finding the Third Proportional to 399,486 and 876,564

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Solution

The third proportional to 399,486 and 876,564 is: 1,923,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,486 : 876,564 = 876,564 : x
  2. Step 2: Convert to fraction form
    399,486/876,564 = 876,564/x
  3. Step 3: Cross multiply
    399,486x = 876,564 × 876,564
  4. Step 4: Simplify right side
    399,486x = 768,364,446,096
  5. Step 5: Solve for x
    x = 768,364,446,096/399,486
  6. Step 6: Final answer
    x = 1,923,382.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.