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Finding the Third Proportional to 138,753 and 153,333

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Solution

The third proportional to 138,753 and 153,333 is: 169,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,753 : 153,333 = 153,333 : x
  2. Step 2: Convert to fraction form
    138,753/153,333 = 153,333/x
  3. Step 3: Cross multiply
    138,753x = 153,333 × 153,333
  4. Step 4: Simplify right side
    138,753x = 23,511,008,889
  5. Step 5: Solve for x
    x = 23,511,008,889/138,753
  6. Step 6: Final answer
    x = 169,445.05

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.