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Finding the Third Proportional to 69,039 and 148,970.25

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Solution

The third proportional to 69,039 and 148,970.25 is: 321,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,039 : 148,970.25 = 148,970.25 : x
  2. Step 2: Convert to fraction form
    69,039/148,970.25 = 148,970.25/x
  3. Step 3: Cross multiply
    69,039x = 148,970.25 × 148,970.25
  4. Step 4: Simplify right side
    69,039x = 22,192,135,385.06
  5. Step 5: Solve for x
    x = 22,192,135,385.06/69,039
  6. Step 6: Final answer
    x = 321,443.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.