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Finding the Third Proportional to 434,524 and 664,711

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Solution

The third proportional to 434,524 and 664,711 is: 1,016,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,524 : 664,711 = 664,711 : x
  2. Step 2: Convert to fraction form
    434,524/664,711 = 664,711/x
  3. Step 3: Cross multiply
    434,524x = 664,711 × 664,711
  4. Step 4: Simplify right side
    434,524x = 441,840,713,521
  5. Step 5: Solve for x
    x = 441,840,713,521/434,524
  6. Step 6: Final answer
    x = 1,016,838.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.