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Finding the Third Proportional to 101,913 and 221,295

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Solution

The third proportional to 101,913 and 221,295 is: 480,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913 : 221,295 = 221,295 : x
  2. Step 2: Convert to fraction form
    101,913/221,295 = 221,295/x
  3. Step 3: Cross multiply
    101,913x = 221,295 × 221,295
  4. Step 4: Simplify right side
    101,913x = 48,971,477,025
  5. Step 5: Solve for x
    x = 48,971,477,025/101,913
  6. Step 6: Final answer
    x = 480,522.38

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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.