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Finding the Third Proportional to 503,122 and 683,642

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Solution

The third proportional to 503,122 and 683,642 is: 928,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,122 : 683,642 = 683,642 : x
  2. Step 2: Convert to fraction form
    503,122/683,642 = 683,642/x
  3. Step 3: Cross multiply
    503,122x = 683,642 × 683,642
  4. Step 4: Simplify right side
    503,122x = 467,366,384,164
  5. Step 5: Solve for x
    x = 467,366,384,164/503,122
  6. Step 6: Final answer
    x = 928,932.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.