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Finding the Third Proportional to 434,641 and 664,876

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Solution

The third proportional to 434,641 and 664,876 is: 1,017,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,641 : 664,876 = 664,876 : x
  2. Step 2: Convert to fraction form
    434,641/664,876 = 664,876/x
  3. Step 3: Cross multiply
    434,641x = 664,876 × 664,876
  4. Step 4: Simplify right side
    434,641x = 442,060,095,376
  5. Step 5: Solve for x
    x = 442,060,095,376/434,641
  6. Step 6: Final answer
    x = 1,017,069.48

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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.