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Finding the Third Proportional to 78,364 and 166,712

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Solution

The third proportional to 78,364 and 166,712 is: 354,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,364 : 166,712 = 166,712 : x
  2. Step 2: Convert to fraction form
    78,364/166,712 = 166,712/x
  3. Step 3: Cross multiply
    78,364x = 166,712 × 166,712
  4. Step 4: Simplify right side
    78,364x = 27,792,890,944
  5. Step 5: Solve for x
    x = 27,792,890,944/78,364
  6. Step 6: Final answer
    x = 354,664.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.