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Finding the Third Proportional to 120,855 and 169,888.50

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Solution

The third proportional to 120,855 and 169,888.50 is: 238,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,855 : 169,888.50 = 169,888.50 : x
  2. Step 2: Convert to fraction form
    120,855/169,888.50 = 169,888.50/x
  3. Step 3: Cross multiply
    120,855x = 169,888.50 × 169,888.50
  4. Step 4: Simplify right side
    120,855x = 28,862,102,432.25
  5. Step 5: Solve for x
    x = 28,862,102,432.25/120,855
  6. Step 6: Final answer
    x = 238,815.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.