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Finding the Third Proportional to 496,814.50 and 665,122.50

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Solution

The third proportional to 496,814.50 and 665,122.50 is: 890,448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,814.50 : 665,122.50 = 665,122.50 : x
  2. Step 2: Convert to fraction form
    496,814.50/665,122.50 = 665,122.50/x
  3. Step 3: Cross multiply
    496,814.50x = 665,122.50 × 665,122.50
  4. Step 4: Simplify right side
    496,814.50x = 442,387,940,006.25
  5. Step 5: Solve for x
    x = 442,387,940,006.25/496,814.50
  6. Step 6: Final answer
    x = 890,448.93

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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.