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Finding the Third Proportional to 378,360 and 564,257

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Solution

The third proportional to 378,360 and 564,257 is: 841,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,360 : 564,257 = 564,257 : x
  2. Step 2: Convert to fraction form
    378,360/564,257 = 564,257/x
  3. Step 3: Cross multiply
    378,360x = 564,257 × 564,257
  4. Step 4: Simplify right side
    378,360x = 318,385,962,049
  5. Step 5: Solve for x
    x = 318,385,962,049/378,360
  6. Step 6: Final answer
    x = 841,489.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.