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Finding the Third Proportional to 418,537.50 and 665,170.50

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Solution

The third proportional to 418,537.50 and 665,170.50 is: 1,057,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,537.50 : 665,170.50 = 665,170.50 : x
  2. Step 2: Convert to fraction form
    418,537.50/665,170.50 = 665,170.50/x
  3. Step 3: Cross multiply
    418,537.50x = 665,170.50 × 665,170.50
  4. Step 4: Simplify right side
    418,537.50x = 442,451,794,070.25
  5. Step 5: Solve for x
    x = 442,451,794,070.25/418,537.50
  6. Step 6: Final answer
    x = 1,057,137.76

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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.