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Finding the Third Proportional to 290,721.66 and 616,617.56

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Solution

The third proportional to 290,721.66 and 616,617.56 is: 1,307,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,721.66 : 616,617.56 = 616,617.56 : x
  2. Step 2: Convert to fraction form
    290,721.66/616,617.56 = 616,617.56/x
  3. Step 3: Cross multiply
    290,721.66x = 616,617.56 × 616,617.56
  4. Step 4: Simplify right side
    290,721.66x = 380,217,218,383.44
  5. Step 5: Solve for x
    x = 380,217,218,383.44/290,721.66
  6. Step 6: Final answer
    x = 1,307,839.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.