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Finding the Third Proportional to 109,148.50 and 239,509

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Solution

The third proportional to 109,148.50 and 239,509 is: 525,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,148.50 : 239,509 = 239,509 : x
  2. Step 2: Convert to fraction form
    109,148.50/239,509 = 239,509/x
  3. Step 3: Cross multiply
    109,148.50x = 239,509 × 239,509
  4. Step 4: Simplify right side
    109,148.50x = 57,364,561,081
  5. Step 5: Solve for x
    x = 57,364,561,081/109,148.50
  6. Step 6: Final answer
    x = 525,564.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.