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Finding the Third Proportional to 315,045 and 691,331

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Solution

The third proportional to 315,045 and 691,331 is: 1,517,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,045 : 691,331 = 691,331 : x
  2. Step 2: Convert to fraction form
    315,045/691,331 = 691,331/x
  3. Step 3: Cross multiply
    315,045x = 691,331 × 691,331
  4. Step 4: Simplify right side
    315,045x = 477,938,551,561
  5. Step 5: Solve for x
    x = 477,938,551,561/315,045
  6. Step 6: Final answer
    x = 1,517,048.52

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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.