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Finding the Third Proportional to 51,645 and 109,440

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Solution

The third proportional to 51,645 and 109,440 is: 231,912.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,645 : 109,440 = 109,440 : x
  2. Step 2: Convert to fraction form
    51,645/109,440 = 109,440/x
  3. Step 3: Cross multiply
    51,645x = 109,440 × 109,440
  4. Step 4: Simplify right side
    51,645x = 11,977,113,600
  5. Step 5: Solve for x
    x = 11,977,113,600/51,645
  6. Step 6: Final answer
    x = 231,912.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.