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Finding the Third Proportional to 414,552 and 640,152

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Solution

The third proportional to 414,552 and 640,152 is: 988,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,552 : 640,152 = 640,152 : x
  2. Step 2: Convert to fraction form
    414,552/640,152 = 640,152/x
  3. Step 3: Cross multiply
    414,552x = 640,152 × 640,152
  4. Step 4: Simplify right side
    414,552x = 409,794,583,104
  5. Step 5: Solve for x
    x = 409,794,583,104/414,552
  6. Step 6: Final answer
    x = 988,523.96

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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.