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Finding the Third Proportional to 115,338 and 147,369

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Solution

The third proportional to 115,338 and 147,369 is: 188,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,338 : 147,369 = 147,369 : x
  2. Step 2: Convert to fraction form
    115,338/147,369 = 147,369/x
  3. Step 3: Cross multiply
    115,338x = 147,369 × 147,369
  4. Step 4: Simplify right side
    115,338x = 21,717,622,161
  5. Step 5: Solve for x
    x = 21,717,622,161/115,338
  6. Step 6: Final answer
    x = 188,295.46

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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.