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Finding the Third Proportional to 689,310 and 992,817

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Solution

The third proportional to 689,310 and 992,817 is: 1,429,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,310 : 992,817 = 992,817 : x
  2. Step 2: Convert to fraction form
    689,310/992,817 = 992,817/x
  3. Step 3: Cross multiply
    689,310x = 992,817 × 992,817
  4. Step 4: Simplify right side
    689,310x = 985,685,595,489
  5. Step 5: Solve for x
    x = 985,685,595,489/689,310
  6. Step 6: Final answer
    x = 1,429,959.81

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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.