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Finding the Third Proportional to 315,028 and 691,295

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Solution

The third proportional to 315,028 and 691,295 is: 1,516,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,028 : 691,295 = 691,295 : x
  2. Step 2: Convert to fraction form
    315,028/691,295 = 691,295/x
  3. Step 3: Cross multiply
    315,028x = 691,295 × 691,295
  4. Step 4: Simplify right side
    315,028x = 477,888,777,025
  5. Step 5: Solve for x
    x = 477,888,777,025/315,028
  6. Step 6: Final answer
    x = 1,516,972.39

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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.