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Finding the Third Proportional to 74,578.50 and 108,345.50

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Solution

The third proportional to 74,578.50 and 108,345.50 is: 157,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,578.50 : 108,345.50 = 108,345.50 : x
  2. Step 2: Convert to fraction form
    74,578.50/108,345.50 = 108,345.50/x
  3. Step 3: Cross multiply
    74,578.50x = 108,345.50 × 108,345.50
  4. Step 4: Simplify right side
    74,578.50x = 11,738,747,370.25
  5. Step 5: Solve for x
    x = 11,738,747,370.25/74,578.50
  6. Step 6: Final answer
    x = 157,401.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.