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Finding the Third Proportional to 130,068 and 280,872

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Solution

The third proportional to 130,068 and 280,872 is: 606,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,068 : 280,872 = 280,872 : x
  2. Step 2: Convert to fraction form
    130,068/280,872 = 280,872/x
  3. Step 3: Cross multiply
    130,068x = 280,872 × 280,872
  4. Step 4: Simplify right side
    130,068x = 78,889,080,384
  5. Step 5: Solve for x
    x = 78,889,080,384/130,068
  6. Step 6: Final answer
    x = 606,521.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.