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Finding the Third Proportional to 414,871 and 640,731

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Solution

The third proportional to 414,871 and 640,731 is: 989,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,871 : 640,731 = 640,731 : x
  2. Step 2: Convert to fraction form
    414,871/640,731 = 640,731/x
  3. Step 3: Cross multiply
    414,871x = 640,731 × 640,731
  4. Step 4: Simplify right side
    414,871x = 410,536,214,361
  5. Step 5: Solve for x
    x = 410,536,214,361/414,871
  6. Step 6: Final answer
    x = 989,551.49

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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.