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Finding the Third Proportional to 142,424 and 221,411

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Solution

The third proportional to 142,424 and 221,411 is: 344,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,424 : 221,411 = 221,411 : x
  2. Step 2: Convert to fraction form
    142,424/221,411 = 221,411/x
  3. Step 3: Cross multiply
    142,424x = 221,411 × 221,411
  4. Step 4: Simplify right side
    142,424x = 49,022,830,921
  5. Step 5: Solve for x
    x = 49,022,830,921/142,424
  6. Step 6: Final answer
    x = 344,203.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.