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Finding the Third Proportional to 378,360 and 564,256

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Solution

The third proportional to 378,360 and 564,256 is: 841,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,360 : 564,256 = 564,256 : x
  2. Step 2: Convert to fraction form
    378,360/564,256 = 564,256/x
  3. Step 3: Cross multiply
    378,360x = 564,256 × 564,256
  4. Step 4: Simplify right side
    378,360x = 318,384,833,536
  5. Step 5: Solve for x
    x = 318,384,833,536/378,360
  6. Step 6: Final answer
    x = 841,486.50

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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.