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Finding the Third Proportional to 128,474.86 and 282,578.63

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Solution

The third proportional to 128,474.86 and 282,578.63 is: 621,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,474.86 : 282,578.63 = 282,578.63 : x
  2. Step 2: Convert to fraction form
    128,474.86/282,578.63 = 282,578.63/x
  3. Step 3: Cross multiply
    128,474.86x = 282,578.63 × 282,578.63
  4. Step 4: Simplify right side
    128,474.86x = 79,850,679,306.89
  5. Step 5: Solve for x
    x = 79,850,679,306.89/128,474.86
  6. Step 6: Final answer
    x = 621,527.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.