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Finding the Third Proportional to 130,422 and 285,846

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Solution

The third proportional to 130,422 and 285,846 is: 626,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,422 : 285,846 = 285,846 : x
  2. Step 2: Convert to fraction form
    130,422/285,846 = 285,846/x
  3. Step 3: Cross multiply
    130,422x = 285,846 × 285,846
  4. Step 4: Simplify right side
    130,422x = 81,707,935,716
  5. Step 5: Solve for x
    x = 81,707,935,716/130,422
  6. Step 6: Final answer
    x = 626,488.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.