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Finding the Third Proportional to 143,322 and 220,491

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Solution

The third proportional to 143,322 and 220,491 is: 339,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,322 : 220,491 = 220,491 : x
  2. Step 2: Convert to fraction form
    143,322/220,491 = 220,491/x
  3. Step 3: Cross multiply
    143,322x = 220,491 × 220,491
  4. Step 4: Simplify right side
    143,322x = 48,616,281,081
  5. Step 5: Solve for x
    x = 48,616,281,081/143,322
  6. Step 6: Final answer
    x = 339,210.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.