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Finding the Third Proportional to 391,426 and 544,643

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Solution

The third proportional to 391,426 and 544,643 is: 757,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,426 : 544,643 = 544,643 : x
  2. Step 2: Convert to fraction form
    391,426/544,643 = 544,643/x
  3. Step 3: Cross multiply
    391,426x = 544,643 × 544,643
  4. Step 4: Simplify right side
    391,426x = 296,635,997,449
  5. Step 5: Solve for x
    x = 296,635,997,449/391,426
  6. Step 6: Final answer
    x = 757,834.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.