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Finding the Third Proportional to 131,312 and 208,451

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Solution

The third proportional to 131,312 and 208,451 is: 330,905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,312 : 208,451 = 208,451 : x
  2. Step 2: Convert to fraction form
    131,312/208,451 = 208,451/x
  3. Step 3: Cross multiply
    131,312x = 208,451 × 208,451
  4. Step 4: Simplify right side
    131,312x = 43,451,819,401
  5. Step 5: Solve for x
    x = 43,451,819,401/131,312
  6. Step 6: Final answer
    x = 330,905.17

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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.