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Finding the Third Proportional to 30,930 and 68,943

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Solution

The third proportional to 30,930 and 68,943 is: 153,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930 : 68,943 = 68,943 : x
  2. Step 2: Convert to fraction form
    30,930/68,943 = 68,943/x
  3. Step 3: Cross multiply
    30,930x = 68,943 × 68,943
  4. Step 4: Simplify right side
    30,930x = 4,753,137,249
  5. Step 5: Solve for x
    x = 4,753,137,249/30,930
  6. Step 6: Final answer
    x = 153,674.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.