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Finding the Third Proportional to 411,256 and 613,459

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Solution

The third proportional to 411,256 and 613,459 is: 915,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,256 : 613,459 = 613,459 : x
  2. Step 2: Convert to fraction form
    411,256/613,459 = 613,459/x
  3. Step 3: Cross multiply
    411,256x = 613,459 × 613,459
  4. Step 4: Simplify right side
    411,256x = 376,331,944,681
  5. Step 5: Solve for x
    x = 376,331,944,681/411,256
  6. Step 6: Final answer
    x = 915,079.52

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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.