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Finding the Third Proportional to 261,287.44 and 381,849.19

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Solution

The third proportional to 261,287.44 and 381,849.19 is: 558,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,287.44 : 381,849.19 = 381,849.19 : x
  2. Step 2: Convert to fraction form
    261,287.44/381,849.19 = 381,849.19/x
  3. Step 3: Cross multiply
    261,287.44x = 381,849.19 × 381,849.19
  4. Step 4: Simplify right side
    261,287.44x = 145,808,801,994.41
  5. Step 5: Solve for x
    x = 145,808,801,994.41/261,287.44
  6. Step 6: Final answer
    x = 558,039.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.