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Finding the Third Proportional to 217,820 and 462,076

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Solution

The third proportional to 217,820 and 462,076 is: 980,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,820 : 462,076 = 462,076 : x
  2. Step 2: Convert to fraction form
    217,820/462,076 = 462,076/x
  3. Step 3: Cross multiply
    217,820x = 462,076 × 462,076
  4. Step 4: Simplify right side
    217,820x = 213,514,229,776
  5. Step 5: Solve for x
    x = 213,514,229,776/217,820
  6. Step 6: Final answer
    x = 980,232.44

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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.