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Finding the Third Proportional to 434,590.88 and 639,322.03

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Solution

The third proportional to 434,590.88 and 639,322.03 is: 940,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,590.88 : 639,322.03 = 639,322.03 : x
  2. Step 2: Convert to fraction form
    434,590.88/639,322.03 = 639,322.03/x
  3. Step 3: Cross multiply
    434,590.88x = 639,322.03 × 639,322.03
  4. Step 4: Simplify right side
    434,590.88x = 408,732,659,641.63
  5. Step 5: Solve for x
    x = 408,732,659,641.63/434,590.88
  6. Step 6: Final answer
    x = 940,499.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.