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Finding the Third Proportional to 434,022 and 663,540

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Solution

The third proportional to 434,022 and 663,540 is: 1,014,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,022 : 663,540 = 663,540 : x
  2. Step 2: Convert to fraction form
    434,022/663,540 = 663,540/x
  3. Step 3: Cross multiply
    434,022x = 663,540 × 663,540
  4. Step 4: Simplify right side
    434,022x = 440,285,331,600
  5. Step 5: Solve for x
    x = 440,285,331,600/434,022
  6. Step 6: Final answer
    x = 1,014,430.91

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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.