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Finding the Third Proportional to 99,042 and 213,485

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Solution

The third proportional to 99,042 and 213,485 is: 460,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,042 : 213,485 = 213,485 : x
  2. Step 2: Convert to fraction form
    99,042/213,485 = 213,485/x
  3. Step 3: Cross multiply
    99,042x = 213,485 × 213,485
  4. Step 4: Simplify right side
    99,042x = 45,575,845,225
  5. Step 5: Solve for x
    x = 45,575,845,225/99,042
  6. Step 6: Final answer
    x = 460,166.85

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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.