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Finding the Third Proportional to 141,574 and 311,125

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Solution

The third proportional to 141,574 and 311,125 is: 683,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,574 : 311,125 = 311,125 : x
  2. Step 2: Convert to fraction form
    141,574/311,125 = 311,125/x
  3. Step 3: Cross multiply
    141,574x = 311,125 × 311,125
  4. Step 4: Simplify right side
    141,574x = 96,798,765,625
  5. Step 5: Solve for x
    x = 96,798,765,625/141,574
  6. Step 6: Final answer
    x = 683,732.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.