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Finding the Third Proportional to 646,671.94 and 978,954.19

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Solution

The third proportional to 646,671.94 and 978,954.19 is: 1,481,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,671.94 : 978,954.19 = 978,954.19 : x
  2. Step 2: Convert to fraction form
    646,671.94/978,954.19 = 978,954.19/x
  3. Step 3: Cross multiply
    646,671.94x = 978,954.19 × 978,954.19
  4. Step 4: Simplify right side
    646,671.94x = 958,351,301,223.79
  5. Step 5: Solve for x
    x = 958,351,301,223.79/646,671.94
  6. Step 6: Final answer
    x = 1,481,974.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.