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Finding the Third Proportional to 101,117 and 220,018

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Solution

The third proportional to 101,117 and 220,018 is: 478,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,117 : 220,018 = 220,018 : x
  2. Step 2: Convert to fraction form
    101,117/220,018 = 220,018/x
  3. Step 3: Cross multiply
    101,117x = 220,018 × 220,018
  4. Step 4: Simplify right side
    101,117x = 48,407,920,324
  5. Step 5: Solve for x
    x = 48,407,920,324/101,117
  6. Step 6: Final answer
    x = 478,731.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.