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Finding the Third Proportional to 519,687 and 1,138,680

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Solution

The third proportional to 519,687 and 1,138,680 is: 2,494,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,687 : 1,138,680 = 1,138,680 : x
  2. Step 2: Convert to fraction form
    519,687/1,138,680 = 1,138,680/x
  3. Step 3: Cross multiply
    519,687x = 1,138,680 × 1,138,680
  4. Step 4: Simplify right side
    519,687x = 1,296,592,142,400
  5. Step 5: Solve for x
    x = 1,296,592,142,400/519,687
  6. Step 6: Final answer
    x = 2,494,948.19

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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.