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Finding the Third Proportional to 142,434 and 225,543

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Solution

The third proportional to 142,434 and 225,543 is: 357,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,434 : 225,543 = 225,543 : x
  2. Step 2: Convert to fraction form
    142,434/225,543 = 225,543/x
  3. Step 3: Cross multiply
    142,434x = 225,543 × 225,543
  4. Step 4: Simplify right side
    142,434x = 50,869,644,849
  5. Step 5: Solve for x
    x = 50,869,644,849/142,434
  6. Step 6: Final answer
    x = 357,145.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.