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Finding the Third Proportional to 30,680 and 66,913

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Solution

The third proportional to 30,680 and 66,913 is: 145,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680 : 66,913 = 66,913 : x
  2. Step 2: Convert to fraction form
    30,680/66,913 = 66,913/x
  3. Step 3: Cross multiply
    30,680x = 66,913 × 66,913
  4. Step 4: Simplify right side
    30,680x = 4,477,349,569
  5. Step 5: Solve for x
    x = 4,477,349,569/30,680
  6. Step 6: Final answer
    x = 145,937.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.