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Finding the Third Proportional to 78,414 and 163,470

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Solution

The third proportional to 78,414 and 163,470 is: 340,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,414 : 163,470 = 163,470 : x
  2. Step 2: Convert to fraction form
    78,414/163,470 = 163,470/x
  3. Step 3: Cross multiply
    78,414x = 163,470 × 163,470
  4. Step 4: Simplify right side
    78,414x = 26,722,440,900
  5. Step 5: Solve for x
    x = 26,722,440,900/78,414
  6. Step 6: Final answer
    x = 340,786.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.