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Finding the Third Proportional to 315,024 and 691,287

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Solution

The third proportional to 315,024 and 691,287 is: 1,516,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,024 : 691,287 = 691,287 : x
  2. Step 2: Convert to fraction form
    315,024/691,287 = 691,287/x
  3. Step 3: Cross multiply
    315,024x = 691,287 × 691,287
  4. Step 4: Simplify right side
    315,024x = 477,877,716,369
  5. Step 5: Solve for x
    x = 477,877,716,369/315,024
  6. Step 6: Final answer
    x = 1,516,956.54

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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.