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Finding the Third Proportional to 261,874.69 and 418,408.03

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Solution

The third proportional to 261,874.69 and 418,408.03 is: 668,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,874.69 : 418,408.03 = 418,408.03 : x
  2. Step 2: Convert to fraction form
    261,874.69/418,408.03 = 418,408.03/x
  3. Step 3: Cross multiply
    261,874.69x = 418,408.03 × 418,408.03
  4. Step 4: Simplify right side
    261,874.69x = 175,065,280,614.50
  5. Step 5: Solve for x
    x = 175,065,280,614.50/261,874.69
  6. Step 6: Final answer
    x = 668,507.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.