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Finding the Third Proportional to 208,665 and 313,042.50

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Solution

The third proportional to 208,665 and 313,042.50 is: 469,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,665 : 313,042.50 = 313,042.50 : x
  2. Step 2: Convert to fraction form
    208,665/313,042.50 = 313,042.50/x
  3. Step 3: Cross multiply
    208,665x = 313,042.50 × 313,042.50
  4. Step 4: Simplify right side
    208,665x = 97,995,606,806.25
  5. Step 5: Solve for x
    x = 97,995,606,806.25/208,665
  6. Step 6: Final answer
    x = 469,631.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.