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Finding the Third Proportional to 978,497 and 1,377,939

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Solution

The third proportional to 978,497 and 1,377,939 is: 1,940,441.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,497 : 1,377,939 = 1,377,939 : x
  2. Step 2: Convert to fraction form
    978,497/1,377,939 = 1,377,939/x
  3. Step 3: Cross multiply
    978,497x = 1,377,939 × 1,377,939
  4. Step 4: Simplify right side
    978,497x = 1,898,715,887,721
  5. Step 5: Solve for x
    x = 1,898,715,887,721/978,497
  6. Step 6: Final answer
    x = 1,940,441.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.