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Finding the Third Proportional to 291,165 and 640,974

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Solution

The third proportional to 291,165 and 640,974 is: 1,411,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,165 : 640,974 = 640,974 : x
  2. Step 2: Convert to fraction form
    291,165/640,974 = 640,974/x
  3. Step 3: Cross multiply
    291,165x = 640,974 × 640,974
  4. Step 4: Simplify right side
    291,165x = 410,847,668,676
  5. Step 5: Solve for x
    x = 410,847,668,676/291,165
  6. Step 6: Final answer
    x = 1,411,047.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.