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Finding the Third Proportional to 58,521 and 128,193

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Solution

The third proportional to 58,521 and 128,193 is: 280,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,521 : 128,193 = 128,193 : x
  2. Step 2: Convert to fraction form
    58,521/128,193 = 128,193/x
  3. Step 3: Cross multiply
    58,521x = 128,193 × 128,193
  4. Step 4: Simplify right side
    58,521x = 16,433,445,249
  5. Step 5: Solve for x
    x = 16,433,445,249/58,521
  6. Step 6: Final answer
    x = 280,812.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.