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Finding the Third Proportional to 297,378 and 423,923

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Solution

The third proportional to 297,378 and 423,923 is: 604,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,378 : 423,923 = 423,923 : x
  2. Step 2: Convert to fraction form
    297,378/423,923 = 423,923/x
  3. Step 3: Cross multiply
    297,378x = 423,923 × 423,923
  4. Step 4: Simplify right side
    297,378x = 179,710,709,929
  5. Step 5: Solve for x
    x = 179,710,709,929/297,378
  6. Step 6: Final answer
    x = 604,317.43

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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.