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Finding the Third Proportional to 68,972 and 105,464

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Solution

The third proportional to 68,972 and 105,464 is: 161,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,972 : 105,464 = 105,464 : x
  2. Step 2: Convert to fraction form
    68,972/105,464 = 105,464/x
  3. Step 3: Cross multiply
    68,972x = 105,464 × 105,464
  4. Step 4: Simplify right side
    68,972x = 11,122,655,296
  5. Step 5: Solve for x
    x = 11,122,655,296/68,972
  6. Step 6: Final answer
    x = 161,263.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.