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Finding the Third Proportional to 133,038 and 157,642

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Solution

The third proportional to 133,038 and 157,642 is: 186,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038 : 157,642 = 157,642 : x
  2. Step 2: Convert to fraction form
    133,038/157,642 = 157,642/x
  3. Step 3: Cross multiply
    133,038x = 157,642 × 157,642
  4. Step 4: Simplify right side
    133,038x = 24,851,000,164
  5. Step 5: Solve for x
    x = 24,851,000,164/133,038
  6. Step 6: Final answer
    x = 186,796.25

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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.