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Finding the Third Proportional to 30,670 and 65,712

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Solution

The third proportional to 30,670 and 65,712 is: 140,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670 : 65,712 = 65,712 : x
  2. Step 2: Convert to fraction form
    30,670/65,712 = 65,712/x
  3. Step 3: Cross multiply
    30,670x = 65,712 × 65,712
  4. Step 4: Simplify right side
    30,670x = 4,318,066,944
  5. Step 5: Solve for x
    x = 4,318,066,944/30,670
  6. Step 6: Final answer
    x = 140,791.23

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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.