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Finding the Third Proportional to 200,630 and 311,659

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Solution

The third proportional to 200,630 and 311,659 is: 484,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,630 : 311,659 = 311,659 : x
  2. Step 2: Convert to fraction form
    200,630/311,659 = 311,659/x
  3. Step 3: Cross multiply
    200,630x = 311,659 × 311,659
  4. Step 4: Simplify right side
    200,630x = 97,131,332,281
  5. Step 5: Solve for x
    x = 97,131,332,281/200,630
  6. Step 6: Final answer
    x = 484,131.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.