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Finding the Third Proportional to 579,980 and 887,302

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Solution

The third proportional to 579,980 and 887,302 is: 1,357,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,980 : 887,302 = 887,302 : x
  2. Step 2: Convert to fraction form
    579,980/887,302 = 887,302/x
  3. Step 3: Cross multiply
    579,980x = 887,302 × 887,302
  4. Step 4: Simplify right side
    579,980x = 787,304,839,204
  5. Step 5: Solve for x
    x = 787,304,839,204/579,980
  6. Step 6: Final answer
    x = 1,357,468.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.