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Finding the Third Proportional to 30,723 and 62,730

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Solution

The third proportional to 30,723 and 62,730 is: 128,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,723 : 62,730 = 62,730 : x
  2. Step 2: Convert to fraction form
    30,723/62,730 = 62,730/x
  3. Step 3: Cross multiply
    30,723x = 62,730 × 62,730
  4. Step 4: Simplify right side
    30,723x = 3,935,052,900
  5. Step 5: Solve for x
    x = 3,935,052,900/30,723
  6. Step 6: Final answer
    x = 128,081.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.