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Finding the Third Proportional to 411,242 and 613,441

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Solution

The third proportional to 411,242 and 613,441 is: 915,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,242 : 613,441 = 613,441 : x
  2. Step 2: Convert to fraction form
    411,242/613,441 = 613,441/x
  3. Step 3: Cross multiply
    411,242x = 613,441 × 613,441
  4. Step 4: Simplify right side
    411,242x = 376,309,860,481
  5. Step 5: Solve for x
    x = 376,309,860,481/411,242
  6. Step 6: Final answer
    x = 915,056.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.