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Finding the Third Proportional to 381,448 and 572,000

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Solution

The third proportional to 381,448 and 572,000 is: 857,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,448 : 572,000 = 572,000 : x
  2. Step 2: Convert to fraction form
    381,448/572,000 = 572,000/x
  3. Step 3: Cross multiply
    381,448x = 572,000 × 572,000
  4. Step 4: Simplify right side
    381,448x = 327,184,000,000
  5. Step 5: Solve for x
    x = 327,184,000,000/381,448
  6. Step 6: Final answer
    x = 857,742.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.