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Finding the Third Proportional to 101,856 and 221,136

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Solution

The third proportional to 101,856 and 221,136 is: 480,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,856 : 221,136 = 221,136 : x
  2. Step 2: Convert to fraction form
    101,856/221,136 = 221,136/x
  3. Step 3: Cross multiply
    101,856x = 221,136 × 221,136
  4. Step 4: Simplify right side
    101,856x = 48,901,130,496
  5. Step 5: Solve for x
    x = 48,901,130,496/101,856
  6. Step 6: Final answer
    x = 480,100.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.