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Finding the Third Proportional to 78,408 and 163,458

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Solution

The third proportional to 78,408 and 163,458 is: 340,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408 : 163,458 = 163,458 : x
  2. Step 2: Convert to fraction form
    78,408/163,458 = 163,458/x
  3. Step 3: Cross multiply
    78,408x = 163,458 × 163,458
  4. Step 4: Simplify right side
    78,408x = 26,718,517,764
  5. Step 5: Solve for x
    x = 26,718,517,764/78,408
  6. Step 6: Final answer
    x = 340,762.65

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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.