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Finding the Third Proportional to 77,658.75 and 120,619.13

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Solution

The third proportional to 77,658.75 and 120,619.13 is: 187,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658.75 : 120,619.13 = 120,619.13 : x
  2. Step 2: Convert to fraction form
    77,658.75/120,619.13 = 120,619.13/x
  3. Step 3: Cross multiply
    77,658.75x = 120,619.13 × 120,619.13
  4. Step 4: Simplify right side
    77,658.75x = 14,548,973,315.77
  5. Step 5: Solve for x
    x = 14,548,973,315.77/77,658.75
  6. Step 6: Final answer
    x = 187,344.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.