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Finding the Third Proportional to 238,740.75 and 372,640.50

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Solution

The third proportional to 238,740.75 and 372,640.50 is: 581,639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,740.75 : 372,640.50 = 372,640.50 : x
  2. Step 2: Convert to fraction form
    238,740.75/372,640.50 = 372,640.50/x
  3. Step 3: Cross multiply
    238,740.75x = 372,640.50 × 372,640.50
  4. Step 4: Simplify right side
    238,740.75x = 138,860,942,240.25
  5. Step 5: Solve for x
    x = 138,860,942,240.25/238,740.75
  6. Step 6: Final answer
    x = 581,639.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.