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Finding the Third Proportional to 240,390 and 512,950

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Solution

The third proportional to 240,390 and 512,950 is: 1,094,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,390 : 512,950 = 512,950 : x
  2. Step 2: Convert to fraction form
    240,390/512,950 = 512,950/x
  3. Step 3: Cross multiply
    240,390x = 512,950 × 512,950
  4. Step 4: Simplify right side
    240,390x = 263,117,702,500
  5. Step 5: Solve for x
    x = 263,117,702,500/240,390
  6. Step 6: Final answer
    x = 1,094,545.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.