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Finding the Third Proportional to 122,511.87 and 197,368.21

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Solution

The third proportional to 122,511.87 and 197,368.21 is: 317,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,511.87 : 197,368.21 = 197,368.21 : x
  2. Step 2: Convert to fraction form
    122,511.87/197,368.21 = 197,368.21/x
  3. Step 3: Cross multiply
    122,511.87x = 197,368.21 × 197,368.21
  4. Step 4: Simplify right side
    122,511.87x = 38,954,209,146.73
  5. Step 5: Solve for x
    x = 38,954,209,146.73/122,511.87
  6. Step 6: Final answer
    x = 317,962.74

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.