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Finding the Third Proportional to 718,497 and 999,012

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Solution

The third proportional to 718,497 and 999,012 is: 1,389,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,497 : 999,012 = 999,012 : x
  2. Step 2: Convert to fraction form
    718,497/999,012 = 999,012/x
  3. Step 3: Cross multiply
    718,497x = 999,012 × 999,012
  4. Step 4: Simplify right side
    718,497x = 998,024,976,144
  5. Step 5: Solve for x
    x = 998,024,976,144/718,497
  6. Step 6: Final answer
    x = 1,389,045.43

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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.