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Finding the Third Proportional to 496,815.50 and 665,124

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Solution

The third proportional to 496,815.50 and 665,124 is: 890,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,815.50 : 665,124 = 665,124 : x
  2. Step 2: Convert to fraction form
    496,815.50/665,124 = 665,124/x
  3. Step 3: Cross multiply
    496,815.50x = 665,124 × 665,124
  4. Step 4: Simplify right side
    496,815.50x = 442,389,935,376
  5. Step 5: Solve for x
    x = 442,389,935,376/496,815.50
  6. Step 6: Final answer
    x = 890,451.15

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.