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Finding the Third Proportional to 143,321 and 220,490

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Solution

The third proportional to 143,321 and 220,490 is: 339,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,321 : 220,490 = 220,490 : x
  2. Step 2: Convert to fraction form
    143,321/220,490 = 220,490/x
  3. Step 3: Cross multiply
    143,321x = 220,490 × 220,490
  4. Step 4: Simplify right side
    143,321x = 48,615,840,100
  5. Step 5: Solve for x
    x = 48,615,840,100/143,321
  6. Step 6: Final answer
    x = 339,209.47

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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.