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Finding the Third Proportional to 646,669.13 and 978,949.13

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Solution

The third proportional to 646,669.13 and 978,949.13 is: 1,481,965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,669.13 : 978,949.13 = 978,949.13 : x
  2. Step 2: Convert to fraction form
    646,669.13/978,949.13 = 978,949.13/x
  3. Step 3: Cross multiply
    646,669.13x = 978,949.13 × 978,949.13
  4. Step 4: Simplify right side
    646,669.13x = 958,341,389,338.27
  5. Step 5: Solve for x
    x = 958,341,389,338.27/646,669.13
  6. Step 6: Final answer
    x = 1,481,965.59

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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.