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Finding the Third Proportional to 130,240 and 276,467

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Solution

The third proportional to 130,240 and 276,467 is: 586,870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,240 : 276,467 = 276,467 : x
  2. Step 2: Convert to fraction form
    130,240/276,467 = 276,467/x
  3. Step 3: Cross multiply
    130,240x = 276,467 × 276,467
  4. Step 4: Simplify right side
    130,240x = 76,434,002,089
  5. Step 5: Solve for x
    x = 76,434,002,089/130,240
  6. Step 6: Final answer
    x = 586,870.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.