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Finding the Third Proportional to 70,926 and 104,987

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Solution

The third proportional to 70,926 and 104,987 is: 155,405.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,926 : 104,987 = 104,987 : x
  2. Step 2: Convert to fraction form
    70,926/104,987 = 104,987/x
  3. Step 3: Cross multiply
    70,926x = 104,987 × 104,987
  4. Step 4: Simplify right side
    70,926x = 11,022,270,169
  5. Step 5: Solve for x
    x = 11,022,270,169/70,926
  6. Step 6: Final answer
    x = 155,405.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.