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Finding the Third Proportional to 101,332 and 220,502

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Solution

The third proportional to 101,332 and 220,502 is: 479,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,332 : 220,502 = 220,502 : x
  2. Step 2: Convert to fraction form
    101,332/220,502 = 220,502/x
  3. Step 3: Cross multiply
    101,332x = 220,502 × 220,502
  4. Step 4: Simplify right side
    101,332x = 48,621,132,004
  5. Step 5: Solve for x
    x = 48,621,132,004/101,332
  6. Step 6: Final answer
    x = 479,820.12

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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.