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Finding the Third Proportional to 420,726.75 and 905,603.25

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Solution

The third proportional to 420,726.75 and 905,603.25 is: 1,949,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,726.75 : 905,603.25 = 905,603.25 : x
  2. Step 2: Convert to fraction form
    420,726.75/905,603.25 = 905,603.25/x
  3. Step 3: Cross multiply
    420,726.75x = 905,603.25 × 905,603.25
  4. Step 4: Simplify right side
    420,726.75x = 820,117,246,410.56
  5. Step 5: Solve for x
    x = 820,117,246,410.56/420,726.75
  6. Step 6: Final answer
    x = 1,949,287.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.