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Finding the Third Proportional to 171,980 and 247,715

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Solution

The third proportional to 171,980 and 247,715 is: 356,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,980 : 247,715 = 247,715 : x
  2. Step 2: Convert to fraction form
    171,980/247,715 = 247,715/x
  3. Step 3: Cross multiply
    171,980x = 247,715 × 247,715
  4. Step 4: Simplify right side
    171,980x = 61,362,721,225
  5. Step 5: Solve for x
    x = 61,362,721,225/171,980
  6. Step 6: Final answer
    x = 356,801.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.