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Finding the Third Proportional to 30,835 and 66,273

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Solution

The third proportional to 30,835 and 66,273 is: 142,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835 : 66,273 = 66,273 : x
  2. Step 2: Convert to fraction form
    30,835/66,273 = 66,273/x
  3. Step 3: Cross multiply
    30,835x = 66,273 × 66,273
  4. Step 4: Simplify right side
    30,835x = 4,392,110,529
  5. Step 5: Solve for x
    x = 4,392,110,529/30,835
  6. Step 6: Final answer
    x = 142,439.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.