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Finding the Third Proportional to 345,981 and 760,122

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Solution

The third proportional to 345,981 and 760,122 is: 1,669,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,981 : 760,122 = 760,122 : x
  2. Step 2: Convert to fraction form
    345,981/760,122 = 760,122/x
  3. Step 3: Cross multiply
    345,981x = 760,122 × 760,122
  4. Step 4: Simplify right side
    345,981x = 577,785,454,884
  5. Step 5: Solve for x
    x = 577,785,454,884/345,981
  6. Step 6: Final answer
    x = 1,669,991.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.