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Finding the Third Proportional to 69,311 and 145,865

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Solution

The third proportional to 69,311 and 145,865 is: 306,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,311 : 145,865 = 145,865 : x
  2. Step 2: Convert to fraction form
    69,311/145,865 = 145,865/x
  3. Step 3: Cross multiply
    69,311x = 145,865 × 145,865
  4. Step 4: Simplify right side
    69,311x = 21,276,598,225
  5. Step 5: Solve for x
    x = 21,276,598,225/69,311
  6. Step 6: Final answer
    x = 306,972.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.