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Finding the Third Proportional to 394,877 and 577,506

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Solution

The third proportional to 394,877 and 577,506 is: 844,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,877 : 577,506 = 577,506 : x
  2. Step 2: Convert to fraction form
    394,877/577,506 = 577,506/x
  3. Step 3: Cross multiply
    394,877x = 577,506 × 577,506
  4. Step 4: Simplify right side
    394,877x = 333,513,180,036
  5. Step 5: Solve for x
    x = 333,513,180,036/394,877
  6. Step 6: Final answer
    x = 844,600.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.