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Finding the Third Proportional to 119,970 and 172,800

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Solution

The third proportional to 119,970 and 172,800 is: 248,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,970 : 172,800 = 172,800 : x
  2. Step 2: Convert to fraction form
    119,970/172,800 = 172,800/x
  3. Step 3: Cross multiply
    119,970x = 172,800 × 172,800
  4. Step 4: Simplify right side
    119,970x = 29,859,840,000
  5. Step 5: Solve for x
    x = 29,859,840,000/119,970
  6. Step 6: Final answer
    x = 248,894.22

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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.