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Finding the Third Proportional to 312,633 and 484,395

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Solution

The third proportional to 312,633 and 484,395 is: 750,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,633 : 484,395 = 484,395 : x
  2. Step 2: Convert to fraction form
    312,633/484,395 = 484,395/x
  3. Step 3: Cross multiply
    312,633x = 484,395 × 484,395
  4. Step 4: Simplify right side
    312,633x = 234,638,516,025
  5. Step 5: Solve for x
    x = 234,638,516,025/312,633
  6. Step 6: Final answer
    x = 750,523.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.