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Finding the Third Proportional to 315,021 and 691,279

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Solution

The third proportional to 315,021 and 691,279 is: 1,516,935.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,021 : 691,279 = 691,279 : x
  2. Step 2: Convert to fraction form
    315,021/691,279 = 691,279/x
  3. Step 3: Cross multiply
    315,021x = 691,279 × 691,279
  4. Step 4: Simplify right side
    315,021x = 477,866,655,841
  5. Step 5: Solve for x
    x = 477,866,655,841/315,021
  6. Step 6: Final answer
    x = 1,516,935.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.