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Finding the Third Proportional to 128,247.05 and 282,772.27

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Solution

The third proportional to 128,247.05 and 282,772.27 is: 623,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,247.05 : 282,772.27 = 282,772.27 : x
  2. Step 2: Convert to fraction form
    128,247.05/282,772.27 = 282,772.27/x
  3. Step 3: Cross multiply
    128,247.05x = 282,772.27 × 282,772.27
  4. Step 4: Simplify right side
    128,247.05x = 79,960,154,206.70
  5. Step 5: Solve for x
    x = 79,960,154,206.70/128,247.05
  6. Step 6: Final answer
    x = 623,485.34

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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.