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Finding the Third Proportional to 79,744 and 171,776

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Solution

The third proportional to 79,744 and 171,776 is: 370,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,744 : 171,776 = 171,776 : x
  2. Step 2: Convert to fraction form
    79,744/171,776 = 171,776/x
  3. Step 3: Cross multiply
    79,744x = 171,776 × 171,776
  4. Step 4: Simplify right side
    79,744x = 29,506,994,176
  5. Step 5: Solve for x
    x = 29,506,994,176/79,744
  6. Step 6: Final answer
    x = 370,021.50

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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.