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Finding the Third Proportional to 131,402 and 202,206

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Solution

The third proportional to 131,402 and 202,206 is: 311,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,402 : 202,206 = 202,206 : x
  2. Step 2: Convert to fraction form
    131,402/202,206 = 202,206/x
  3. Step 3: Cross multiply
    131,402x = 202,206 × 202,206
  4. Step 4: Simplify right side
    131,402x = 40,887,266,436
  5. Step 5: Solve for x
    x = 40,887,266,436/131,402
  6. Step 6: Final answer
    x = 311,161.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.