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Finding the Third Proportional to 315,064 and 691,366

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Solution

The third proportional to 315,064 and 691,366 is: 1,517,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,064 : 691,366 = 691,366 : x
  2. Step 2: Convert to fraction form
    315,064/691,366 = 691,366/x
  3. Step 3: Cross multiply
    315,064x = 691,366 × 691,366
  4. Step 4: Simplify right side
    315,064x = 477,986,945,956
  5. Step 5: Solve for x
    x = 477,986,945,956/315,064
  6. Step 6: Final answer
    x = 1,517,110.64

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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.