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Finding the Third Proportional to 30,820 and 65,613

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Solution

The third proportional to 30,820 and 65,613 is: 139,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,820 : 65,613 = 65,613 : x
  2. Step 2: Convert to fraction form
    30,820/65,613 = 65,613/x
  3. Step 3: Cross multiply
    30,820x = 65,613 × 65,613
  4. Step 4: Simplify right side
    30,820x = 4,305,065,769
  5. Step 5: Solve for x
    x = 4,305,065,769/30,820
  6. Step 6: Final answer
    x = 139,684.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.