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Finding the Third Proportional to 45,158 and 68,637

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Solution

The third proportional to 45,158 and 68,637 is: 104,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,158 : 68,637 = 68,637 : x
  2. Step 2: Convert to fraction form
    45,158/68,637 = 68,637/x
  3. Step 3: Cross multiply
    45,158x = 68,637 × 68,637
  4. Step 4: Simplify right side
    45,158x = 4,711,037,769
  5. Step 5: Solve for x
    x = 4,711,037,769/45,158
  6. Step 6: Final answer
    x = 104,323.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.