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Finding the Third Proportional to 640.83 and 1,347.05

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Solution

The third proportional to 640.83 and 1,347.05 is: 2,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.83 : 1,347.05 = 1,347.05 : x
  2. Step 2: Convert to fraction form
    640.83/1,347.05 = 1,347.05/x
  3. Step 3: Cross multiply
    640.83x = 1,347.05 × 1,347.05
  4. Step 4: Simplify right side
    640.83x = 1,814,535.28
  5. Step 5: Solve for x
    x = 1,814,535.28/640.83
  6. Step 6: Final answer
    x = 2,831.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.