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Finding the Third Proportional to 265,488.50 and 398,157

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Solution

The third proportional to 265,488.50 and 398,157 is: 597,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,488.50 : 398,157 = 398,157 : x
  2. Step 2: Convert to fraction form
    265,488.50/398,157 = 398,157/x
  3. Step 3: Cross multiply
    265,488.50x = 398,157 × 398,157
  4. Step 4: Simplify right side
    265,488.50x = 158,528,996,649
  5. Step 5: Solve for x
    x = 158,528,996,649/265,488.50
  6. Step 6: Final answer
    x = 597,121.90

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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.