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Finding the Third Proportional to 29,889 and 68,890.50

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Solution

The third proportional to 29,889 and 68,890.50 is: 158,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,889 : 68,890.50 = 68,890.50 : x
  2. Step 2: Convert to fraction form
    29,889/68,890.50 = 68,890.50/x
  3. Step 3: Cross multiply
    29,889x = 68,890.50 × 68,890.50
  4. Step 4: Simplify right side
    29,889x = 4,745,900,990.25
  5. Step 5: Solve for x
    x = 4,745,900,990.25/29,889
  6. Step 6: Final answer
    x = 158,784.20

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.