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Finding the Third Proportional to 718,494 and 999,009

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Solution

The third proportional to 718,494 and 999,009 is: 1,389,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,494 : 999,009 = 999,009 : x
  2. Step 2: Convert to fraction form
    718,494/999,009 = 999,009/x
  3. Step 3: Cross multiply
    718,494x = 999,009 × 999,009
  4. Step 4: Simplify right side
    718,494x = 998,018,982,081
  5. Step 5: Solve for x
    x = 998,018,982,081/718,494
  6. Step 6: Final answer
    x = 1,389,042.89

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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.