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Finding the Third Proportional to 689,404 and 992,946

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Solution

The third proportional to 689,404 and 992,946 is: 1,430,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,404 : 992,946 = 992,946 : x
  2. Step 2: Convert to fraction form
    689,404/992,946 = 992,946/x
  3. Step 3: Cross multiply
    689,404x = 992,946 × 992,946
  4. Step 4: Simplify right side
    689,404x = 985,941,758,916
  5. Step 5: Solve for x
    x = 985,941,758,916/689,404
  6. Step 6: Final answer
    x = 1,430,136.41

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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.