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Finding the Third Proportional to 99,796 and 218,348

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Solution

The third proportional to 99,796 and 218,348 is: 477,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,796 : 218,348 = 218,348 : x
  2. Step 2: Convert to fraction form
    99,796/218,348 = 218,348/x
  3. Step 3: Cross multiply
    99,796x = 218,348 × 218,348
  4. Step 4: Simplify right side
    99,796x = 47,675,849,104
  5. Step 5: Solve for x
    x = 47,675,849,104/99,796
  6. Step 6: Final answer
    x = 477,733.07

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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.