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Finding the Third Proportional to 687,908 and 990,842

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Solution

The third proportional to 687,908 and 990,842 is: 1,427,179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,908 : 990,842 = 990,842 : x
  2. Step 2: Convert to fraction form
    687,908/990,842 = 990,842/x
  3. Step 3: Cross multiply
    687,908x = 990,842 × 990,842
  4. Step 4: Simplify right side
    687,908x = 981,767,868,964
  5. Step 5: Solve for x
    x = 981,767,868,964/687,908
  6. Step 6: Final answer
    x = 1,427,179.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.