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Finding the Third Proportional to 77,984 and 117,530

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Solution

The third proportional to 77,984 and 117,530 is: 177,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,984 : 117,530 = 117,530 : x
  2. Step 2: Convert to fraction form
    77,984/117,530 = 117,530/x
  3. Step 3: Cross multiply
    77,984x = 117,530 × 117,530
  4. Step 4: Simplify right side
    77,984x = 13,813,300,900
  5. Step 5: Solve for x
    x = 13,813,300,900/77,984
  6. Step 6: Final answer
    x = 177,129.94

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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.