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Finding the Third Proportional to 100,281.38 and 218,554.88

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Solution

The third proportional to 100,281.38 and 218,554.88 is: 476,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,281.38 : 218,554.88 = 218,554.88 : x
  2. Step 2: Convert to fraction form
    100,281.38/218,554.88 = 218,554.88/x
  3. Step 3: Cross multiply
    100,281.38x = 218,554.88 × 218,554.88
  4. Step 4: Simplify right side
    100,281.38x = 47,766,233,386.27
  5. Step 5: Solve for x
    x = 47,766,233,386.27/100,281.38
  6. Step 6: Final answer
    x = 476,322.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.