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Finding the Third Proportional to 208,098 and 311,577

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Solution

The third proportional to 208,098 and 311,577 is: 466,512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,098 : 311,577 = 311,577 : x
  2. Step 2: Convert to fraction form
    208,098/311,577 = 311,577/x
  3. Step 3: Cross multiply
    208,098x = 311,577 × 311,577
  4. Step 4: Simplify right side
    208,098x = 97,080,226,929
  5. Step 5: Solve for x
    x = 97,080,226,929/208,098
  6. Step 6: Final answer
    x = 466,512.06

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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.