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Finding the Third Proportional to 266,487.75 and 398,466

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Solution

The third proportional to 266,487.75 and 398,466 is: 595,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,487.75 : 398,466 = 398,466 : x
  2. Step 2: Convert to fraction form
    266,487.75/398,466 = 398,466/x
  3. Step 3: Cross multiply
    266,487.75x = 398,466 × 398,466
  4. Step 4: Simplify right side
    266,487.75x = 158,775,153,156
  5. Step 5: Solve for x
    x = 158,775,153,156/266,487.75
  6. Step 6: Final answer
    x = 595,806.57

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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.