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Finding the Third Proportional to 130,728.94 and 277,153.88

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Solution

The third proportional to 130,728.94 and 277,153.88 is: 587,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,728.94 : 277,153.88 = 277,153.88 : x
  2. Step 2: Convert to fraction form
    130,728.94/277,153.88 = 277,153.88/x
  3. Step 3: Cross multiply
    130,728.94x = 277,153.88 × 277,153.88
  4. Step 4: Simplify right side
    130,728.94x = 76,814,270,427.52
  5. Step 5: Solve for x
    x = 76,814,270,427.52/130,728.94
  6. Step 6: Final answer
    x = 587,584.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.