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Finding the Third Proportional to 315,068 and 691,373

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Solution

The third proportional to 315,068 and 691,373 is: 1,517,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,068 : 691,373 = 691,373 : x
  2. Step 2: Convert to fraction form
    315,068/691,373 = 691,373/x
  3. Step 3: Cross multiply
    315,068x = 691,373 × 691,373
  4. Step 4: Simplify right side
    315,068x = 477,996,625,129
  5. Step 5: Solve for x
    x = 477,996,625,129/315,068
  6. Step 6: Final answer
    x = 1,517,122.10

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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.