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Finding the Third Proportional to 34,038 and 78,129

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Solution

The third proportional to 34,038 and 78,129 is: 179,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,038 : 78,129 = 78,129 : x
  2. Step 2: Convert to fraction form
    34,038/78,129 = 78,129/x
  3. Step 3: Cross multiply
    34,038x = 78,129 × 78,129
  4. Step 4: Simplify right side
    34,038x = 6,104,140,641
  5. Step 5: Solve for x
    x = 6,104,140,641/34,038
  6. Step 6: Final answer
    x = 179,333.12

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.