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Finding the Third Proportional to 30,311 and 65,806

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Solution

The third proportional to 30,311 and 65,806 is: 142,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311 : 65,806 = 65,806 : x
  2. Step 2: Convert to fraction form
    30,311/65,806 = 65,806/x
  3. Step 3: Cross multiply
    30,311x = 65,806 × 65,806
  4. Step 4: Simplify right side
    30,311x = 4,330,429,636
  5. Step 5: Solve for x
    x = 4,330,429,636/30,311
  6. Step 6: Final answer
    x = 142,866.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.