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Finding the Third Proportional to 99,630 and 215,001

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Solution

The third proportional to 99,630 and 215,001 is: 463,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,630 : 215,001 = 215,001 : x
  2. Step 2: Convert to fraction form
    99,630/215,001 = 215,001/x
  3. Step 3: Cross multiply
    99,630x = 215,001 × 215,001
  4. Step 4: Simplify right side
    99,630x = 46,225,430,001
  5. Step 5: Solve for x
    x = 46,225,430,001/99,630
  6. Step 6: Final answer
    x = 463,970.99

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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.