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Finding the Third Proportional to 29,980 and 64,820

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Solution

The third proportional to 29,980 and 64,820 is: 140,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980 : 64,820 = 64,820 : x
  2. Step 2: Convert to fraction form
    29,980/64,820 = 64,820/x
  3. Step 3: Cross multiply
    29,980x = 64,820 × 64,820
  4. Step 4: Simplify right side
    29,980x = 4,201,632,400
  5. Step 5: Solve for x
    x = 4,201,632,400/29,980
  6. Step 6: Final answer
    x = 140,147.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.