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Finding the Third Proportional to 394,413 and 564,015

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Solution

The third proportional to 394,413 and 564,015 is: 806,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,413 : 564,015 = 564,015 : x
  2. Step 2: Convert to fraction form
    394,413/564,015 = 564,015/x
  3. Step 3: Cross multiply
    394,413x = 564,015 × 564,015
  4. Step 4: Simplify right side
    394,413x = 318,112,920,225
  5. Step 5: Solve for x
    x = 318,112,920,225/394,413
  6. Step 6: Final answer
    x = 806,547.76

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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.