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Finding the Third Proportional to 129,579 and 279,030

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Solution

The third proportional to 129,579 and 279,030 is: 600,851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,579 : 279,030 = 279,030 : x
  2. Step 2: Convert to fraction form
    129,579/279,030 = 279,030/x
  3. Step 3: Cross multiply
    129,579x = 279,030 × 279,030
  4. Step 4: Simplify right side
    129,579x = 77,857,740,900
  5. Step 5: Solve for x
    x = 77,857,740,900/129,579
  6. Step 6: Final answer
    x = 600,851.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.