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Finding the Third Proportional to 34,485 and 71,127

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Solution

The third proportional to 34,485 and 71,127 is: 146,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,485 : 71,127 = 71,127 : x
  2. Step 2: Convert to fraction form
    34,485/71,127 = 71,127/x
  3. Step 3: Cross multiply
    34,485x = 71,127 × 71,127
  4. Step 4: Simplify right side
    34,485x = 5,059,050,129
  5. Step 5: Solve for x
    x = 5,059,050,129/34,485
  6. Step 6: Final answer
    x = 146,702.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.