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Finding the Third Proportional to 434,669 and 664,919

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Solution

The third proportional to 434,669 and 664,919 is: 1,017,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,669 : 664,919 = 664,919 : x
  2. Step 2: Convert to fraction form
    434,669/664,919 = 664,919/x
  3. Step 3: Cross multiply
    434,669x = 664,919 × 664,919
  4. Step 4: Simplify right side
    434,669x = 442,117,276,561
  5. Step 5: Solve for x
    x = 442,117,276,561/434,669
  6. Step 6: Final answer
    x = 1,017,135.51

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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.