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Finding the Third Proportional to 394,980 and 564,426

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Solution

The third proportional to 394,980 and 564,426 is: 806,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,980 : 564,426 = 564,426 : x
  2. Step 2: Convert to fraction form
    394,980/564,426 = 564,426/x
  3. Step 3: Cross multiply
    394,980x = 564,426 × 564,426
  4. Step 4: Simplify right side
    394,980x = 318,576,709,476
  5. Step 5: Solve for x
    x = 318,576,709,476/394,980
  6. Step 6: Final answer
    x = 806,564.15

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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.