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Finding the Third Proportional to 136,579 and 299,402

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Solution

The third proportional to 136,579 and 299,402 is: 656,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,579 : 299,402 = 299,402 : x
  2. Step 2: Convert to fraction form
    136,579/299,402 = 299,402/x
  3. Step 3: Cross multiply
    136,579x = 299,402 × 299,402
  4. Step 4: Simplify right side
    136,579x = 89,641,557,604
  5. Step 5: Solve for x
    x = 89,641,557,604/136,579
  6. Step 6: Final answer
    x = 656,334.85

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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.