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Finding the Third Proportional to 171,800 and 260,076

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Solution

The third proportional to 171,800 and 260,076 is: 393,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,800 : 260,076 = 260,076 : x
  2. Step 2: Convert to fraction form
    171,800/260,076 = 260,076/x
  3. Step 3: Cross multiply
    171,800x = 260,076 × 260,076
  4. Step 4: Simplify right side
    171,800x = 67,639,525,776
  5. Step 5: Solve for x
    x = 67,639,525,776/171,800
  6. Step 6: Final answer
    x = 393,710.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.