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Finding the Third Proportional to 53,800 and 125,020

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Solution

The third proportional to 53,800 and 125,020 is: 290,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,800 : 125,020 = 125,020 : x
  2. Step 2: Convert to fraction form
    53,800/125,020 = 125,020/x
  3. Step 3: Cross multiply
    53,800x = 125,020 × 125,020
  4. Step 4: Simplify right side
    53,800x = 15,630,000,400
  5. Step 5: Solve for x
    x = 15,630,000,400/53,800
  6. Step 6: Final answer
    x = 290,520.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.