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Finding the Third Proportional to 208,585.13 and 290,187.56

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Solution

The third proportional to 208,585.13 and 290,187.56 is: 403,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,585.13 : 290,187.56 = 290,187.56 : x
  2. Step 2: Convert to fraction form
    208,585.13/290,187.56 = 290,187.56/x
  3. Step 3: Cross multiply
    208,585.13x = 290,187.56 × 290,187.56
  4. Step 4: Simplify right side
    208,585.13x = 84,208,821,429.69
  5. Step 5: Solve for x
    x = 84,208,821,429.69/208,585.13
  6. Step 6: Final answer
    x = 403,714.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.