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Finding the Third Proportional to 143,784 and 311,368

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Solution

The third proportional to 143,784 and 311,368 is: 674,275.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,784 : 311,368 = 311,368 : x
  2. Step 2: Convert to fraction form
    143,784/311,368 = 311,368/x
  3. Step 3: Cross multiply
    143,784x = 311,368 × 311,368
  4. Step 4: Simplify right side
    143,784x = 96,950,031,424
  5. Step 5: Solve for x
    x = 96,950,031,424/143,784
  6. Step 6: Final answer
    x = 674,275.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.