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Finding the Third Proportional to 99,604 and 215,804

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Solution

The third proportional to 99,604 and 215,804 is: 467,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,604 : 215,804 = 215,804 : x
  2. Step 2: Convert to fraction form
    99,604/215,804 = 215,804/x
  3. Step 3: Cross multiply
    99,604x = 215,804 × 215,804
  4. Step 4: Simplify right side
    99,604x = 46,571,366,416
  5. Step 5: Solve for x
    x = 46,571,366,416/99,604
  6. Step 6: Final answer
    x = 467,565.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.