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Finding the Third Proportional to 101,752 and 221,020

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Solution

The third proportional to 101,752 and 221,020 is: 480,087.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,752 : 221,020 = 221,020 : x
  2. Step 2: Convert to fraction form
    101,752/221,020 = 221,020/x
  3. Step 3: Cross multiply
    101,752x = 221,020 × 221,020
  4. Step 4: Simplify right side
    101,752x = 48,849,840,400
  5. Step 5: Solve for x
    x = 48,849,840,400/101,752
  6. Step 6: Final answer
    x = 480,087.27

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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.