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Finding the Third Proportional to 99,074 and 213,628

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Solution

The third proportional to 99,074 and 213,628 is: 460,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,074 : 213,628 = 213,628 : x
  2. Step 2: Convert to fraction form
    99,074/213,628 = 213,628/x
  3. Step 3: Cross multiply
    99,074x = 213,628 × 213,628
  4. Step 4: Simplify right side
    99,074x = 45,636,922,384
  5. Step 5: Solve for x
    x = 45,636,922,384/99,074
  6. Step 6: Final answer
    x = 460,634.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.