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Finding the Third Proportional to 142,420 and 221,405

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Solution

The third proportional to 142,420 and 221,405 is: 344,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,420 : 221,405 = 221,405 : x
  2. Step 2: Convert to fraction form
    142,420/221,405 = 221,405/x
  3. Step 3: Cross multiply
    142,420x = 221,405 × 221,405
  4. Step 4: Simplify right side
    142,420x = 49,020,174,025
  5. Step 5: Solve for x
    x = 49,020,174,025/142,420
  6. Step 6: Final answer
    x = 344,194.45

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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.