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Finding the Third Proportional to 103,056 and 238,592

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Solution

The third proportional to 103,056 and 238,592 is: 552,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,056 : 238,592 = 238,592 : x
  2. Step 2: Convert to fraction form
    103,056/238,592 = 238,592/x
  3. Step 3: Cross multiply
    103,056x = 238,592 × 238,592
  4. Step 4: Simplify right side
    103,056x = 56,926,142,464
  5. Step 5: Solve for x
    x = 56,926,142,464/103,056
  6. Step 6: Final answer
    x = 552,380.67

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.