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Finding the Third Proportional to 434,664 and 664,911

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Solution

The third proportional to 434,664 and 664,911 is: 1,017,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,664 : 664,911 = 664,911 : x
  2. Step 2: Convert to fraction form
    434,664/664,911 = 664,911/x
  3. Step 3: Cross multiply
    434,664x = 664,911 × 664,911
  4. Step 4: Simplify right side
    434,664x = 442,106,637,921
  5. Step 5: Solve for x
    x = 442,106,637,921/434,664
  6. Step 6: Final answer
    x = 1,017,122.74

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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.