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Finding the Third Proportional to 322,656 and 512,508

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Solution

The third proportional to 322,656 and 512,508 is: 814,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,656 : 512,508 = 512,508 : x
  2. Step 2: Convert to fraction form
    322,656/512,508 = 512,508/x
  3. Step 3: Cross multiply
    322,656x = 512,508 × 512,508
  4. Step 4: Simplify right side
    322,656x = 262,664,450,064
  5. Step 5: Solve for x
    x = 262,664,450,064/322,656
  6. Step 6: Final answer
    x = 814,069.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.