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Finding the Third Proportional to 66,678 and 157,398

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Solution

The third proportional to 66,678 and 157,398 is: 371,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,678 : 157,398 = 157,398 : x
  2. Step 2: Convert to fraction form
    66,678/157,398 = 157,398/x
  3. Step 3: Cross multiply
    66,678x = 157,398 × 157,398
  4. Step 4: Simplify right side
    66,678x = 24,774,130,404
  5. Step 5: Solve for x
    x = 24,774,130,404/66,678
  6. Step 6: Final answer
    x = 371,548.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.