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Finding the Third Proportional to 30,820 and 65,856

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Solution

The third proportional to 30,820 and 65,856 is: 140,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820 : 65,856 = 65,856 : x
  2. Step 2: Convert to fraction form
    30,820/65,856 = 65,856/x
  3. Step 3: Cross multiply
    30,820x = 65,856 × 65,856
  4. Step 4: Simplify right side
    30,820x = 4,337,012,736
  5. Step 5: Solve for x
    x = 4,337,012,736/30,820
  6. Step 6: Final answer
    x = 140,720.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.