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Finding the Third Proportional to 77,512.78 and 118,575.56

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Solution

The third proportional to 77,512.78 and 118,575.56 is: 181,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,512.78 : 118,575.56 = 118,575.56 : x
  2. Step 2: Convert to fraction form
    77,512.78/118,575.56 = 118,575.56/x
  3. Step 3: Cross multiply
    77,512.78x = 118,575.56 × 118,575.56
  4. Step 4: Simplify right side
    77,512.78x = 14,060,164,022.19
  5. Step 5: Solve for x
    x = 14,060,164,022.19/77,512.78
  6. Step 6: Final answer
    x = 181,391.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.