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Finding the Third Proportional to 290,679 and 616,538.25

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Solution

The third proportional to 290,679 and 616,538.25 is: 1,307,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,679 : 616,538.25 = 616,538.25 : x
  2. Step 2: Convert to fraction form
    290,679/616,538.25 = 616,538.25/x
  3. Step 3: Cross multiply
    290,679x = 616,538.25 × 616,538.25
  4. Step 4: Simplify right side
    290,679x = 380,119,413,713.06
  5. Step 5: Solve for x
    x = 380,119,413,713.06/290,679
  6. Step 6: Final answer
    x = 1,307,694.79

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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.