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Finding the Third Proportional to 218,769.75 and 526,420.69

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Solution

The third proportional to 218,769.75 and 526,420.69 is: 1,266,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,769.75 : 526,420.69 = 526,420.69 : x
  2. Step 2: Convert to fraction form
    218,769.75/526,420.69 = 526,420.69/x
  3. Step 3: Cross multiply
    218,769.75x = 526,420.69 × 526,420.69
  4. Step 4: Simplify right side
    218,769.75x = 277,118,740,227.97
  5. Step 5: Solve for x
    x = 277,118,740,227.97/218,769.75
  6. Step 6: Final answer
    x = 1,266,714.16

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.