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Finding the Third Proportional to 101,402 and 220,644

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Solution

The third proportional to 101,402 and 220,644 is: 480,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,402 : 220,644 = 220,644 : x
  2. Step 2: Convert to fraction form
    101,402/220,644 = 220,644/x
  3. Step 3: Cross multiply
    101,402x = 220,644 × 220,644
  4. Step 4: Simplify right side
    101,402x = 48,683,774,736
  5. Step 5: Solve for x
    x = 48,683,774,736/101,402
  6. Step 6: Final answer
    x = 480,106.65

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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.