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Finding the Third Proportional to 57,560 and 90,444

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Solution

The third proportional to 57,560 and 90,444 is: 142,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,560 : 90,444 = 90,444 : x
  2. Step 2: Convert to fraction form
    57,560/90,444 = 90,444/x
  3. Step 3: Cross multiply
    57,560x = 90,444 × 90,444
  4. Step 4: Simplify right side
    57,560x = 8,180,117,136
  5. Step 5: Solve for x
    x = 8,180,117,136/57,560
  6. Step 6: Final answer
    x = 142,114.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.