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Finding the Third Proportional to 202,874.15 and 315,385.76

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Solution

The third proportional to 202,874.15 and 315,385.76 is: 490,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,874.15 : 315,385.76 = 315,385.76 : x
  2. Step 2: Convert to fraction form
    202,874.15/315,385.76 = 315,385.76/x
  3. Step 3: Cross multiply
    202,874.15x = 315,385.76 × 315,385.76
  4. Step 4: Simplify right side
    202,874.15x = 99,468,178,078.92
  5. Step 5: Solve for x
    x = 99,468,178,078.92/202,874.15
  6. Step 6: Final answer
    x = 490,294.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.