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Finding the Third Proportional to 74,767.50 and 106,643.25

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Solution

The third proportional to 74,767.50 and 106,643.25 is: 152,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,767.50 : 106,643.25 = 106,643.25 : x
  2. Step 2: Convert to fraction form
    74,767.50/106,643.25 = 106,643.25/x
  3. Step 3: Cross multiply
    74,767.50x = 106,643.25 × 106,643.25
  4. Step 4: Simplify right side
    74,767.50x = 11,372,782,770.56
  5. Step 5: Solve for x
    x = 11,372,782,770.56/74,767.50
  6. Step 6: Final answer
    x = 152,108.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.