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Finding the Third Proportional to 115,297.50 and 147,322.50

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Solution

The third proportional to 115,297.50 and 147,322.50 is: 188,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,297.50 : 147,322.50 = 147,322.50 : x
  2. Step 2: Convert to fraction form
    115,297.50/147,322.50 = 147,322.50/x
  3. Step 3: Cross multiply
    115,297.50x = 147,322.50 × 147,322.50
  4. Step 4: Simplify right side
    115,297.50x = 21,703,919,006.25
  5. Step 5: Solve for x
    x = 21,703,919,006.25/115,297.50
  6. Step 6: Final answer
    x = 188,242.75

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.