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Finding the Third Proportional to 219,429 and 485,514

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Solution

The third proportional to 219,429 and 485,514 is: 1,074,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,429 : 485,514 = 485,514 : x
  2. Step 2: Convert to fraction form
    219,429/485,514 = 485,514/x
  3. Step 3: Cross multiply
    219,429x = 485,514 × 485,514
  4. Step 4: Simplify right side
    219,429x = 235,723,844,196
  5. Step 5: Solve for x
    x = 235,723,844,196/219,429
  6. Step 6: Final answer
    x = 1,074,260.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.