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Finding the Third Proportional to 55,720 and 119,720

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Solution

The third proportional to 55,720 and 119,720 is: 257,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,720 : 119,720 = 119,720 : x
  2. Step 2: Convert to fraction form
    55,720/119,720 = 119,720/x
  3. Step 3: Cross multiply
    55,720x = 119,720 × 119,720
  4. Step 4: Simplify right side
    55,720x = 14,332,878,400
  5. Step 5: Solve for x
    x = 14,332,878,400/55,720
  6. Step 6: Final answer
    x = 257,230.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.