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Finding the Third Proportional to 434,753 and 668,330

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Solution

The third proportional to 434,753 and 668,330 is: 1,027,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,753 : 668,330 = 668,330 : x
  2. Step 2: Convert to fraction form
    434,753/668,330 = 668,330/x
  3. Step 3: Cross multiply
    434,753x = 668,330 × 668,330
  4. Step 4: Simplify right side
    434,753x = 446,664,988,900
  5. Step 5: Solve for x
    x = 446,664,988,900/434,753
  6. Step 6: Final answer
    x = 1,027,399.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.