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Finding the Third Proportional to 355,136 and 768,592

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Solution

The third proportional to 355,136 and 768,592 is: 1,663,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,136 : 768,592 = 768,592 : x
  2. Step 2: Convert to fraction form
    355,136/768,592 = 768,592/x
  3. Step 3: Cross multiply
    355,136x = 768,592 × 768,592
  4. Step 4: Simplify right side
    355,136x = 590,733,662,464
  5. Step 5: Solve for x
    x = 590,733,662,464/355,136
  6. Step 6: Final answer
    x = 1,663,401.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.