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Finding the Third Proportional to 119,850 and 172,647

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Solution

The third proportional to 119,850 and 172,647 is: 248,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,850 : 172,647 = 172,647 : x
  2. Step 2: Convert to fraction form
    119,850/172,647 = 172,647/x
  3. Step 3: Cross multiply
    119,850x = 172,647 × 172,647
  4. Step 4: Simplify right side
    119,850x = 29,806,986,609
  5. Step 5: Solve for x
    x = 29,806,986,609/119,850
  6. Step 6: Final answer
    x = 248,702.43

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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.