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Finding the Third Proportional to 131,138 and 202,498

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Solution

The third proportional to 131,138 and 202,498 is: 312,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,138 : 202,498 = 202,498 : x
  2. Step 2: Convert to fraction form
    131,138/202,498 = 202,498/x
  3. Step 3: Cross multiply
    131,138x = 202,498 × 202,498
  4. Step 4: Simplify right side
    131,138x = 41,005,440,004
  5. Step 5: Solve for x
    x = 41,005,440,004/131,138
  6. Step 6: Final answer
    x = 312,689.23

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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.