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Finding the Third Proportional to 518,401 and 1,136,445.50

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Solution

The third proportional to 518,401 and 1,136,445.50 is: 2,491,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,401 : 1,136,445.50 = 1,136,445.50 : x
  2. Step 2: Convert to fraction form
    518,401/1,136,445.50 = 1,136,445.50/x
  3. Step 3: Cross multiply
    518,401x = 1,136,445.50 × 1,136,445.50
  4. Step 4: Simplify right side
    518,401x = 1,291,508,374,470.25
  5. Step 5: Solve for x
    x = 1,291,508,374,470.25/518,401
  6. Step 6: Final answer
    x = 2,491,330.79

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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.