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Finding the Third Proportional to 99,320.63 and 217,209.38

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Solution

The third proportional to 99,320.63 and 217,209.38 is: 475,026.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,320.63 : 217,209.38 = 217,209.38 : x
  2. Step 2: Convert to fraction form
    99,320.63/217,209.38 = 217,209.38/x
  3. Step 3: Cross multiply
    99,320.63x = 217,209.38 × 217,209.38
  4. Step 4: Simplify right side
    99,320.63x = 47,179,912,587.89
  5. Step 5: Solve for x
    x = 47,179,912,587.89/99,320.63
  6. Step 6: Final answer
    x = 475,026.34

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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.