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Finding the Third Proportional to 60,172 and 129,970

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Solution

The third proportional to 60,172 and 129,970 is: 280,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,172 : 129,970 = 129,970 : x
  2. Step 2: Convert to fraction form
    60,172/129,970 = 129,970/x
  3. Step 3: Cross multiply
    60,172x = 129,970 × 129,970
  4. Step 4: Simplify right side
    60,172x = 16,892,200,900
  5. Step 5: Solve for x
    x = 16,892,200,900/60,172
  6. Step 6: Final answer
    x = 280,731.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.