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Finding the Third Proportional to 119,846 and 172,641

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Solution

The third proportional to 119,846 and 172,641 is: 248,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,846 : 172,641 = 172,641 : x
  2. Step 2: Convert to fraction form
    119,846/172,641 = 172,641/x
  3. Step 3: Cross multiply
    119,846x = 172,641 × 172,641
  4. Step 4: Simplify right side
    119,846x = 29,804,914,881
  5. Step 5: Solve for x
    x = 29,804,914,881/119,846
  6. Step 6: Final answer
    x = 248,693.45

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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.