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Finding the Third Proportional to 360,304 and 782,144

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Solution

The third proportional to 360,304 and 782,144 is: 1,697,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,304 : 782,144 = 782,144 : x
  2. Step 2: Convert to fraction form
    360,304/782,144 = 782,144/x
  3. Step 3: Cross multiply
    360,304x = 782,144 × 782,144
  4. Step 4: Simplify right side
    360,304x = 611,749,236,736
  5. Step 5: Solve for x
    x = 611,749,236,736/360,304
  6. Step 6: Final answer
    x = 1,697,869.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.