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Finding the Third Proportional to 115,397.75 and 239,968.50

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Solution

The third proportional to 115,397.75 and 239,968.50 is: 499,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,397.75 : 239,968.50 = 239,968.50 : x
  2. Step 2: Convert to fraction form
    115,397.75/239,968.50 = 239,968.50/x
  3. Step 3: Cross multiply
    115,397.75x = 239,968.50 × 239,968.50
  4. Step 4: Simplify right side
    115,397.75x = 57,584,880,992.25
  5. Step 5: Solve for x
    x = 57,584,880,992.25/115,397.75
  6. Step 6: Final answer
    x = 499,012.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.