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Finding the Third Proportional to 689,400 and 992,940

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Solution

The third proportional to 689,400 and 992,940 is: 1,430,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,400 : 992,940 = 992,940 : x
  2. Step 2: Convert to fraction form
    689,400/992,940 = 992,940/x
  3. Step 3: Cross multiply
    689,400x = 992,940 × 992,940
  4. Step 4: Simplify right side
    689,400x = 985,929,843,600
  5. Step 5: Solve for x
    x = 985,929,843,600/689,400
  6. Step 6: Final answer
    x = 1,430,127.42

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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.