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Finding the Third Proportional to 30,319 and 62,140

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Solution

The third proportional to 30,319 and 62,140 is: 127,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319 : 62,140 = 62,140 : x
  2. Step 2: Convert to fraction form
    30,319/62,140 = 62,140/x
  3. Step 3: Cross multiply
    30,319x = 62,140 × 62,140
  4. Step 4: Simplify right side
    30,319x = 3,861,379,600
  5. Step 5: Solve for x
    x = 3,861,379,600/30,319
  6. Step 6: Final answer
    x = 127,358.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.