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Finding the Third Proportional to 136,916 and 299,599

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Solution

The third proportional to 136,916 and 299,599 is: 655,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,916 : 299,599 = 299,599 : x
  2. Step 2: Convert to fraction form
    136,916/299,599 = 299,599/x
  3. Step 3: Cross multiply
    136,916x = 299,599 × 299,599
  4. Step 4: Simplify right side
    136,916x = 89,759,560,801
  5. Step 5: Solve for x
    x = 89,759,560,801/136,916
  6. Step 6: Final answer
    x = 655,581.24

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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.