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Finding the Third Proportional to 10,175 and 20,959

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Solution

The third proportional to 10,175 and 20,959 is: 43,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175 : 20,959 = 20,959 : x
  2. Step 2: Convert to fraction form
    10,175/20,959 = 20,959/x
  3. Step 3: Cross multiply
    10,175x = 20,959 × 20,959
  4. Step 4: Simplify right side
    10,175x = 439,279,681
  5. Step 5: Solve for x
    x = 439,279,681/10,175
  6. Step 6: Final answer
    x = 43,172.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.