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Finding the Third Proportional to 291,554 and 640,180

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Solution

The third proportional to 291,554 and 640,180 is: 1,405,675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,554 : 640,180 = 640,180 : x
  2. Step 2: Convert to fraction form
    291,554/640,180 = 640,180/x
  3. Step 3: Cross multiply
    291,554x = 640,180 × 640,180
  4. Step 4: Simplify right side
    291,554x = 409,830,432,400
  5. Step 5: Solve for x
    x = 409,830,432,400/291,554
  6. Step 6: Final answer
    x = 1,405,675.90

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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.