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Finding the Third Proportional to 297,405 and 423,963

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Solution

The third proportional to 297,405 and 423,963 is: 604,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,405 : 423,963 = 423,963 : x
  2. Step 2: Convert to fraction form
    297,405/423,963 = 423,963/x
  3. Step 3: Cross multiply
    297,405x = 423,963 × 423,963
  4. Step 4: Simplify right side
    297,405x = 179,744,625,369
  5. Step 5: Solve for x
    x = 179,744,625,369/297,405
  6. Step 6: Final answer
    x = 604,376.61

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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.