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Finding the Third Proportional to 34,143 and 74,511

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Solution

The third proportional to 34,143 and 74,511 is: 162,606.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,143 : 74,511 = 74,511 : x
  2. Step 2: Convert to fraction form
    34,143/74,511 = 74,511/x
  3. Step 3: Cross multiply
    34,143x = 74,511 × 74,511
  4. Step 4: Simplify right side
    34,143x = 5,551,889,121
  5. Step 5: Solve for x
    x = 5,551,889,121/34,143
  6. Step 6: Final answer
    x = 162,606.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.