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Finding the Third Proportional to 223,699.50 and 338,808

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Solution

The third proportional to 223,699.50 and 338,808 is: 513,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,699.50 : 338,808 = 338,808 : x
  2. Step 2: Convert to fraction form
    223,699.50/338,808 = 338,808/x
  3. Step 3: Cross multiply
    223,699.50x = 338,808 × 338,808
  4. Step 4: Simplify right side
    223,699.50x = 114,790,860,864
  5. Step 5: Solve for x
    x = 114,790,860,864/223,699.50
  6. Step 6: Final answer
    x = 513,147.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.