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Finding the Third Proportional to 312,098 and 496,659

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Solution

The third proportional to 312,098 and 496,659 is: 790,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,098 : 496,659 = 496,659 : x
  2. Step 2: Convert to fraction form
    312,098/496,659 = 496,659/x
  3. Step 3: Cross multiply
    312,098x = 496,659 × 496,659
  4. Step 4: Simplify right side
    312,098x = 246,670,162,281
  5. Step 5: Solve for x
    x = 246,670,162,281/312,098
  6. Step 6: Final answer
    x = 790,361.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.