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Finding the Third Proportional to 130,221 and 276,429

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Solution

The third proportional to 130,221 and 276,429 is: 586,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,221 : 276,429 = 276,429 : x
  2. Step 2: Convert to fraction form
    130,221/276,429 = 276,429/x
  3. Step 3: Cross multiply
    130,221x = 276,429 × 276,429
  4. Step 4: Simplify right side
    130,221x = 76,412,992,041
  5. Step 5: Solve for x
    x = 76,412,992,041/130,221
  6. Step 6: Final answer
    x = 586,794.70

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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.