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Finding the Third Proportional to 414,705 and 640,336.50

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Solution

The third proportional to 414,705 and 640,336.50 is: 988,728.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,705 : 640,336.50 = 640,336.50 : x
  2. Step 2: Convert to fraction form
    414,705/640,336.50 = 640,336.50/x
  3. Step 3: Cross multiply
    414,705x = 640,336.50 × 640,336.50
  4. Step 4: Simplify right side
    414,705x = 410,030,833,232.25
  5. Step 5: Solve for x
    x = 410,030,833,232.25/414,705
  6. Step 6: Final answer
    x = 988,728.94

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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.