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Finding the Third Proportional to 305,928 and 672,423

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Solution

The third proportional to 305,928 and 672,423 is: 1,477,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,928 : 672,423 = 672,423 : x
  2. Step 2: Convert to fraction form
    305,928/672,423 = 672,423/x
  3. Step 3: Cross multiply
    305,928x = 672,423 × 672,423
  4. Step 4: Simplify right side
    305,928x = 452,152,690,929
  5. Step 5: Solve for x
    x = 452,152,690,929/305,928
  6. Step 6: Final answer
    x = 1,477,970.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.