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Finding the Third Proportional to 238,428 and 330,540

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Solution

The third proportional to 238,428 and 330,540 is: 458,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,428 : 330,540 = 330,540 : x
  2. Step 2: Convert to fraction form
    238,428/330,540 = 330,540/x
  3. Step 3: Cross multiply
    238,428x = 330,540 × 330,540
  4. Step 4: Simplify right side
    238,428x = 109,256,691,600
  5. Step 5: Solve for x
    x = 109,256,691,600/238,428
  6. Step 6: Final answer
    x = 458,237.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.