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Finding the Third Proportional to 687,944 and 990,898

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Solution

The third proportional to 687,944 and 990,898 is: 1,427,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,944 : 990,898 = 990,898 : x
  2. Step 2: Convert to fraction form
    687,944/990,898 = 990,898/x
  3. Step 3: Cross multiply
    687,944x = 990,898 × 990,898
  4. Step 4: Simplify right side
    687,944x = 981,878,846,404
  5. Step 5: Solve for x
    x = 981,878,846,404/687,944
  6. Step 6: Final answer
    x = 1,427,265.66

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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.