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Finding the Third Proportional to 30,726 and 65,723

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Solution

The third proportional to 30,726 and 65,723 is: 140,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726 : 65,723 = 65,723 : x
  2. Step 2: Convert to fraction form
    30,726/65,723 = 65,723/x
  3. Step 3: Cross multiply
    30,726x = 65,723 × 65,723
  4. Step 4: Simplify right side
    30,726x = 4,319,512,729
  5. Step 5: Solve for x
    x = 4,319,512,729/30,726
  6. Step 6: Final answer
    x = 140,581.68

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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.