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Finding the Third Proportional to 203,520 and 296,040

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Solution

The third proportional to 203,520 and 296,040 is: 430,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,520 : 296,040 = 296,040 : x
  2. Step 2: Convert to fraction form
    203,520/296,040 = 296,040/x
  3. Step 3: Cross multiply
    203,520x = 296,040 × 296,040
  4. Step 4: Simplify right side
    203,520x = 87,639,681,600
  5. Step 5: Solve for x
    x = 87,639,681,600/203,520
  6. Step 6: Final answer
    x = 430,619.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.