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Finding the Third Proportional to 48,712.78 and 77,571.56

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Solution

The third proportional to 48,712.78 and 77,571.56 is: 123,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,712.78 : 77,571.56 = 77,571.56 : x
  2. Step 2: Convert to fraction form
    48,712.78/77,571.56 = 77,571.56/x
  3. Step 3: Cross multiply
    48,712.78x = 77,571.56 × 77,571.56
  4. Step 4: Simplify right side
    48,712.78x = 6,017,347,308.69
  5. Step 5: Solve for x
    x = 6,017,347,308.69/48,712.78
  6. Step 6: Final answer
    x = 123,527.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.