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Finding the Third Proportional to 381,384 and 565,560

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Solution

The third proportional to 381,384 and 565,560 is: 838,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,384 : 565,560 = 565,560 : x
  2. Step 2: Convert to fraction form
    381,384/565,560 = 565,560/x
  3. Step 3: Cross multiply
    381,384x = 565,560 × 565,560
  4. Step 4: Simplify right side
    381,384x = 319,858,113,600
  5. Step 5: Solve for x
    x = 319,858,113,600/381,384
  6. Step 6: Final answer
    x = 838,677.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.