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Finding the Third Proportional to 266,085 and 398,084.63

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Solution

The third proportional to 266,085 and 398,084.63 is: 595,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,085 : 398,084.63 = 398,084.63 : x
  2. Step 2: Convert to fraction form
    266,085/398,084.63 = 398,084.63/x
  3. Step 3: Cross multiply
    266,085x = 398,084.63 × 398,084.63
  4. Step 4: Simplify right side
    266,085x = 158,471,368,661.39
  5. Step 5: Solve for x
    x = 158,471,368,661.39/266,085
  6. Step 6: Final answer
    x = 595,566.71

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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.