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Finding the Third Proportional to 297,400 and 423,930

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Solution

The third proportional to 297,400 and 423,930 is: 604,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,400 : 423,930 = 423,930 : x
  2. Step 2: Convert to fraction form
    297,400/423,930 = 423,930/x
  3. Step 3: Cross multiply
    297,400x = 423,930 × 423,930
  4. Step 4: Simplify right side
    297,400x = 179,716,644,900
  5. Step 5: Solve for x
    x = 179,716,644,900/297,400
  6. Step 6: Final answer
    x = 604,292.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.