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Finding the Third Proportional to 202,798.50 and 318,117

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Solution

The third proportional to 202,798.50 and 318,117 is: 499,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,798.50 : 318,117 = 318,117 : x
  2. Step 2: Convert to fraction form
    202,798.50/318,117 = 318,117/x
  3. Step 3: Cross multiply
    202,798.50x = 318,117 × 318,117
  4. Step 4: Simplify right side
    202,798.50x = 101,198,425,689
  5. Step 5: Solve for x
    x = 101,198,425,689/202,798.50
  6. Step 6: Final answer
    x = 499,009.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.