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Finding the Third Proportional to 342,982.13 and 509,500.13

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Solution

The third proportional to 342,982.13 and 509,500.13 is: 756,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,982.13 : 509,500.13 = 509,500.13 : x
  2. Step 2: Convert to fraction form
    342,982.13/509,500.13 = 509,500.13/x
  3. Step 3: Cross multiply
    342,982.13x = 509,500.13 × 509,500.13
  4. Step 4: Simplify right side
    342,982.13x = 259,590,377,375.02
  5. Step 5: Solve for x
    x = 259,590,377,375.02/342,982.13
  6. Step 6: Final answer
    x = 756,862.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.