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Finding the Third Proportional to 689,402 and 992,943

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Solution

The third proportional to 689,402 and 992,943 is: 1,430,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,402 : 992,943 = 992,943 : x
  2. Step 2: Convert to fraction form
    689,402/992,943 = 992,943/x
  3. Step 3: Cross multiply
    689,402x = 992,943 × 992,943
  4. Step 4: Simplify right side
    689,402x = 985,935,801,249
  5. Step 5: Solve for x
    x = 985,935,801,249/689,402
  6. Step 6: Final answer
    x = 1,430,131.91

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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.