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Finding the Third Proportional to 394,898 and 564,310

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Solution

The third proportional to 394,898 and 564,310 is: 806,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,898 : 564,310 = 564,310 : x
  2. Step 2: Convert to fraction form
    394,898/564,310 = 564,310/x
  3. Step 3: Cross multiply
    394,898x = 564,310 × 564,310
  4. Step 4: Simplify right side
    394,898x = 318,445,776,100
  5. Step 5: Solve for x
    x = 318,445,776,100/394,898
  6. Step 6: Final answer
    x = 806,400.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.