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Finding the Third Proportional to 89,502 and 137,673

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Solution

The third proportional to 89,502 and 137,673 is: 211,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,502 : 137,673 = 137,673 : x
  2. Step 2: Convert to fraction form
    89,502/137,673 = 137,673/x
  3. Step 3: Cross multiply
    89,502x = 137,673 × 137,673
  4. Step 4: Simplify right side
    89,502x = 18,953,854,929
  5. Step 5: Solve for x
    x = 18,953,854,929/89,502
  6. Step 6: Final answer
    x = 211,770.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.