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Finding the Third Proportional to 69,166 and 145,712

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Solution

The third proportional to 69,166 and 145,712 is: 306,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,166 : 145,712 = 145,712 : x
  2. Step 2: Convert to fraction form
    69,166/145,712 = 145,712/x
  3. Step 3: Cross multiply
    69,166x = 145,712 × 145,712
  4. Step 4: Simplify right side
    69,166x = 21,231,986,944
  5. Step 5: Solve for x
    x = 21,231,986,944/69,166
  6. Step 6: Final answer
    x = 306,971.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.