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Finding the Third Proportional to 200,614 and 311,633

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Solution

The third proportional to 200,614 and 311,633 is: 484,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,614 : 311,633 = 311,633 : x
  2. Step 2: Convert to fraction form
    200,614/311,633 = 311,633/x
  3. Step 3: Cross multiply
    200,614x = 311,633 × 311,633
  4. Step 4: Simplify right side
    200,614x = 97,115,126,689
  5. Step 5: Solve for x
    x = 97,115,126,689/200,614
  6. Step 6: Final answer
    x = 484,089.48

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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.