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Finding the Third Proportional to 133,028 and 157,631

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Solution

The third proportional to 133,028 and 157,631 is: 186,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,028 : 157,631 = 157,631 : x
  2. Step 2: Convert to fraction form
    133,028/157,631 = 157,631/x
  3. Step 3: Cross multiply
    133,028x = 157,631 × 157,631
  4. Step 4: Simplify right side
    133,028x = 24,847,532,161
  5. Step 5: Solve for x
    x = 24,847,532,161/133,028
  6. Step 6: Final answer
    x = 186,784.23

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.