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Finding the Third Proportional to 37,257 and 81,209

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Solution

The third proportional to 37,257 and 81,209 is: 177,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,257 : 81,209 = 81,209 : x
  2. Step 2: Convert to fraction form
    37,257/81,209 = 81,209/x
  3. Step 3: Cross multiply
    37,257x = 81,209 × 81,209
  4. Step 4: Simplify right side
    37,257x = 6,594,901,681
  5. Step 5: Solve for x
    x = 6,594,901,681/37,257
  6. Step 6: Final answer
    x = 177,011.08

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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.