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Finding the Third Proportional to 131,209 and 271,753

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Solution

The third proportional to 131,209 and 271,753 is: 562,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,209 : 271,753 = 271,753 : x
  2. Step 2: Convert to fraction form
    131,209/271,753 = 271,753/x
  3. Step 3: Cross multiply
    131,209x = 271,753 × 271,753
  4. Step 4: Simplify right side
    131,209x = 73,849,693,009
  5. Step 5: Solve for x
    x = 73,849,693,009/131,209
  6. Step 6: Final answer
    x = 562,840.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.