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Finding the Third Proportional to 113,040 and 238,680

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Solution

The third proportional to 113,040 and 238,680 is: 503,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,040 : 238,680 = 238,680 : x
  2. Step 2: Convert to fraction form
    113,040/238,680 = 238,680/x
  3. Step 3: Cross multiply
    113,040x = 238,680 × 238,680
  4. Step 4: Simplify right side
    113,040x = 56,968,142,400
  5. Step 5: Solve for x
    x = 56,968,142,400/113,040
  6. Step 6: Final answer
    x = 503,964.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.