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Finding the Third Proportional to 361,130 and 768,915

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Solution

The third proportional to 361,130 and 768,915 is: 1,637,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,130 : 768,915 = 768,915 : x
  2. Step 2: Convert to fraction form
    361,130/768,915 = 768,915/x
  3. Step 3: Cross multiply
    361,130x = 768,915 × 768,915
  4. Step 4: Simplify right side
    361,130x = 591,230,277,225
  5. Step 5: Solve for x
    x = 591,230,277,225/361,130
  6. Step 6: Final answer
    x = 1,637,167.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.