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Finding the Third Proportional to 129,950 and 190,313

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Solution

The third proportional to 129,950 and 190,313 is: 278,715.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,950 : 190,313 = 190,313 : x
  2. Step 2: Convert to fraction form
    129,950/190,313 = 190,313/x
  3. Step 3: Cross multiply
    129,950x = 190,313 × 190,313
  4. Step 4: Simplify right side
    129,950x = 36,219,037,969
  5. Step 5: Solve for x
    x = 36,219,037,969/129,950
  6. Step 6: Final answer
    x = 278,715.18

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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.