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Finding the Third Proportional to 131,310 and 191,224

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Solution

The third proportional to 131,310 and 191,224 is: 278,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,310 : 191,224 = 191,224 : x
  2. Step 2: Convert to fraction form
    131,310/191,224 = 191,224/x
  3. Step 3: Cross multiply
    131,310x = 191,224 × 191,224
  4. Step 4: Simplify right side
    131,310x = 36,566,618,176
  5. Step 5: Solve for x
    x = 36,566,618,176/131,310
  6. Step 6: Final answer
    x = 278,475.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.