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Finding the Third Proportional to 131,295 and 208,426

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Solution

The third proportional to 131,295 and 208,426 is: 330,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,295 : 208,426 = 208,426 : x
  2. Step 2: Convert to fraction form
    131,295/208,426 = 208,426/x
  3. Step 3: Cross multiply
    131,295x = 208,426 × 208,426
  4. Step 4: Simplify right side
    131,295x = 43,441,397,476
  5. Step 5: Solve for x
    x = 43,441,397,476/131,295
  6. Step 6: Final answer
    x = 330,868.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.