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Finding the Third Proportional to 34,188 and 78,450

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Solution

The third proportional to 34,188 and 78,450 is: 180,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,188 : 78,450 = 78,450 : x
  2. Step 2: Convert to fraction form
    34,188/78,450 = 78,450/x
  3. Step 3: Cross multiply
    34,188x = 78,450 × 78,450
  4. Step 4: Simplify right side
    34,188x = 6,154,402,500
  5. Step 5: Solve for x
    x = 6,154,402,500/34,188
  6. Step 6: Final answer
    x = 180,016.45

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.