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Finding the Third Proportional to 100,548.84 and 209,367.28

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Solution

The third proportional to 100,548.84 and 209,367.28 is: 435,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,548.84 : 209,367.28 = 209,367.28 : x
  2. Step 2: Convert to fraction form
    100,548.84/209,367.28 = 209,367.28/x
  3. Step 3: Cross multiply
    100,548.84x = 209,367.28 × 209,367.28
  4. Step 4: Simplify right side
    100,548.84x = 43,834,658,458.02
  5. Step 5: Solve for x
    x = 43,834,658,458.02/100,548.84
  6. Step 6: Final answer
    x = 435,953.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.