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Finding the Third Proportional to 30,935 and 68,953

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Solution

The third proportional to 30,935 and 68,953 is: 153,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935 : 68,953 = 68,953 : x
  2. Step 2: Convert to fraction form
    30,935/68,953 = 68,953/x
  3. Step 3: Cross multiply
    30,935x = 68,953 × 68,953
  4. Step 4: Simplify right side
    30,935x = 4,754,516,209
  5. Step 5: Solve for x
    x = 4,754,516,209/30,935
  6. Step 6: Final answer
    x = 153,693.75

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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.