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Finding the Third Proportional to 89,978.63 and 208,305.56

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Solution

The third proportional to 89,978.63 and 208,305.56 is: 482,239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,978.63 : 208,305.56 = 208,305.56 : x
  2. Step 2: Convert to fraction form
    89,978.63/208,305.56 = 208,305.56/x
  3. Step 3: Cross multiply
    89,978.63x = 208,305.56 × 208,305.56
  4. Step 4: Simplify right side
    89,978.63x = 43,391,207,368.44
  5. Step 5: Solve for x
    x = 43,391,207,368.44/89,978.63
  6. Step 6: Final answer
    x = 482,239.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.