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Finding the Third Proportional to 411,240 and 613,446

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Solution

The third proportional to 411,240 and 613,446 is: 915,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,240 : 613,446 = 613,446 : x
  2. Step 2: Convert to fraction form
    411,240/613,446 = 613,446/x
  3. Step 3: Cross multiply
    411,240x = 613,446 × 613,446
  4. Step 4: Simplify right side
    411,240x = 376,315,994,916
  5. Step 5: Solve for x
    x = 376,315,994,916/411,240
  6. Step 6: Final answer
    x = 915,076.34

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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.