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Finding the Third Proportional to 119,862 and 172,656

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Solution

The third proportional to 119,862 and 172,656 is: 248,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,862 : 172,656 = 172,656 : x
  2. Step 2: Convert to fraction form
    119,862/172,656 = 172,656/x
  3. Step 3: Cross multiply
    119,862x = 172,656 × 172,656
  4. Step 4: Simplify right side
    119,862x = 29,810,094,336
  5. Step 5: Solve for x
    x = 29,810,094,336/119,862
  6. Step 6: Final answer
    x = 248,703.46

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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.