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Finding the Third Proportional to 342,227.53 and 512,821.13

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Solution

The third proportional to 342,227.53 and 512,821.13 is: 768,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,227.53 : 512,821.13 = 512,821.13 : x
  2. Step 2: Convert to fraction form
    342,227.53/512,821.13 = 512,821.13/x
  3. Step 3: Cross multiply
    342,227.53x = 512,821.13 × 512,821.13
  4. Step 4: Simplify right side
    342,227.53x = 262,985,506,246.27
  5. Step 5: Solve for x
    x = 262,985,506,246.27/342,227.53
  6. Step 6: Final answer
    x = 768,452.22

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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.