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Finding the Third Proportional to 79,559 and 171,970

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Solution

The third proportional to 79,559 and 171,970 is: 371,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,559 : 171,970 = 171,970 : x
  2. Step 2: Convert to fraction form
    79,559/171,970 = 171,970/x
  3. Step 3: Cross multiply
    79,559x = 171,970 × 171,970
  4. Step 4: Simplify right side
    79,559x = 29,573,680,900
  5. Step 5: Solve for x
    x = 29,573,680,900/79,559
  6. Step 6: Final answer
    x = 371,720.12

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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.