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Finding the Third Proportional to 309,005.25 and 744,165.75

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Solution

The third proportional to 309,005.25 and 744,165.75 is: 1,792,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,005.25 : 744,165.75 = 744,165.75 : x
  2. Step 2: Convert to fraction form
    309,005.25/744,165.75 = 744,165.75/x
  3. Step 3: Cross multiply
    309,005.25x = 744,165.75 × 744,165.75
  4. Step 4: Simplify right side
    309,005.25x = 553,782,663,473.06
  5. Step 5: Solve for x
    x = 553,782,663,473.06/309,005.25
  6. Step 6: Final answer
    x = 1,792,146.46

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.