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Finding the Third Proportional to 68,985 and 151,516.50

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Solution

The third proportional to 68,985 and 151,516.50 is: 332,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,985 : 151,516.50 = 151,516.50 : x
  2. Step 2: Convert to fraction form
    68,985/151,516.50 = 151,516.50/x
  3. Step 3: Cross multiply
    68,985x = 151,516.50 × 151,516.50
  4. Step 4: Simplify right side
    68,985x = 22,957,249,772.25
  5. Step 5: Solve for x
    x = 22,957,249,772.25/68,985
  6. Step 6: Final answer
    x = 332,786.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.