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Finding the Third Proportional to 37,209 and 87,819

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Solution

The third proportional to 37,209 and 87,819 is: 207,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,209 : 87,819 = 87,819 : x
  2. Step 2: Convert to fraction form
    37,209/87,819 = 87,819/x
  3. Step 3: Cross multiply
    37,209x = 87,819 × 87,819
  4. Step 4: Simplify right side
    37,209x = 7,712,176,761
  5. Step 5: Solve for x
    x = 7,712,176,761/37,209
  6. Step 6: Final answer
    x = 207,266.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.