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Finding the Third Proportional to 209,042.44 and 308,642.91

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Solution

The third proportional to 209,042.44 and 308,642.91 is: 455,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,042.44 : 308,642.91 = 308,642.91 : x
  2. Step 2: Convert to fraction form
    209,042.44/308,642.91 = 308,642.91/x
  3. Step 3: Cross multiply
    209,042.44x = 308,642.91 × 308,642.91
  4. Step 4: Simplify right side
    209,042.44x = 95,260,443,578.45
  5. Step 5: Solve for x
    x = 95,260,443,578.45/209,042.44
  6. Step 6: Final answer
    x = 455,699.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.