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Finding the Third Proportional to 315,060 and 691,359

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Solution

The third proportional to 315,060 and 691,359 is: 1,517,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,060 : 691,359 = 691,359 : x
  2. Step 2: Convert to fraction form
    315,060/691,359 = 691,359/x
  3. Step 3: Cross multiply
    315,060x = 691,359 × 691,359
  4. Step 4: Simplify right side
    315,060x = 477,977,266,881
  5. Step 5: Solve for x
    x = 477,977,266,881/315,060
  6. Step 6: Final answer
    x = 1,517,099.18

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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.