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Finding the Third Proportional to 130,031 and 279,460

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Solution

The third proportional to 130,031 and 279,460 is: 600,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,031 : 279,460 = 279,460 : x
  2. Step 2: Convert to fraction form
    130,031/279,460 = 279,460/x
  3. Step 3: Cross multiply
    130,031x = 279,460 × 279,460
  4. Step 4: Simplify right side
    130,031x = 78,097,891,600
  5. Step 5: Solve for x
    x = 78,097,891,600/130,031
  6. Step 6: Final answer
    x = 600,609.79

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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.