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Finding the Third Proportional to 103,028 and 155,987

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Solution

The third proportional to 103,028 and 155,987 is: 236,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,028 : 155,987 = 155,987 : x
  2. Step 2: Convert to fraction form
    103,028/155,987 = 155,987/x
  3. Step 3: Cross multiply
    103,028x = 155,987 × 155,987
  4. Step 4: Simplify right side
    103,028x = 24,331,944,169
  5. Step 5: Solve for x
    x = 24,331,944,169/103,028
  6. Step 6: Final answer
    x = 236,168.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.