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Finding the Third Proportional to 291,878 and 641,220

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Solution

The third proportional to 291,878 and 641,220 is: 1,408,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,878 : 641,220 = 641,220 : x
  2. Step 2: Convert to fraction form
    291,878/641,220 = 641,220/x
  3. Step 3: Cross multiply
    291,878x = 641,220 × 641,220
  4. Step 4: Simplify right side
    291,878x = 411,163,088,400
  5. Step 5: Solve for x
    x = 411,163,088,400/291,878
  6. Step 6: Final answer
    x = 1,408,681.33

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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.