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Finding the Third Proportional to 324,434 and 455,331

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Solution

The third proportional to 324,434 and 455,331 is: 639,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,434 : 455,331 = 455,331 : x
  2. Step 2: Convert to fraction form
    324,434/455,331 = 455,331/x
  3. Step 3: Cross multiply
    324,434x = 455,331 × 455,331
  4. Step 4: Simplify right side
    324,434x = 207,326,319,561
  5. Step 5: Solve for x
    x = 207,326,319,561/324,434
  6. Step 6: Final answer
    x = 639,040.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.