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Finding the Third Proportional to 101,752 and 221,019

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Solution

The third proportional to 101,752 and 221,019 is: 480,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,752 : 221,019 = 221,019 : x
  2. Step 2: Convert to fraction form
    101,752/221,019 = 221,019/x
  3. Step 3: Cross multiply
    101,752x = 221,019 × 221,019
  4. Step 4: Simplify right side
    101,752x = 48,849,398,361
  5. Step 5: Solve for x
    x = 48,849,398,361/101,752
  6. Step 6: Final answer
    x = 480,082.93

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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.