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Finding the Third Proportional to 90,720 and 194,556

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Solution

The third proportional to 90,720 and 194,556 is: 417,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,720 : 194,556 = 194,556 : x
  2. Step 2: Convert to fraction form
    90,720/194,556 = 194,556/x
  3. Step 3: Cross multiply
    90,720x = 194,556 × 194,556
  4. Step 4: Simplify right side
    90,720x = 37,852,037,136
  5. Step 5: Solve for x
    x = 37,852,037,136/90,720
  6. Step 6: Final answer
    x = 417,240.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.