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Finding the Third Proportional to 131,903 and 204,547

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Solution

The third proportional to 131,903 and 204,547 is: 317,198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,903 : 204,547 = 204,547 : x
  2. Step 2: Convert to fraction form
    131,903/204,547 = 204,547/x
  3. Step 3: Cross multiply
    131,903x = 204,547 × 204,547
  4. Step 4: Simplify right side
    131,903x = 41,839,475,209
  5. Step 5: Solve for x
    x = 41,839,475,209/131,903
  6. Step 6: Final answer
    x = 317,198.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.