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Finding the Third Proportional to 378,380 and 564,290

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Solution

The third proportional to 378,380 and 564,290 is: 841,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,380 : 564,290 = 564,290 : x
  2. Step 2: Convert to fraction form
    378,380/564,290 = 564,290/x
  3. Step 3: Cross multiply
    378,380x = 564,290 × 564,290
  4. Step 4: Simplify right side
    378,380x = 318,423,204,100
  5. Step 5: Solve for x
    x = 318,423,204,100/378,380
  6. Step 6: Final answer
    x = 841,543.43

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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.