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Finding the Third Proportional to 338,312 and 505,800

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Solution

The third proportional to 338,312 and 505,800 is: 756,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,312 : 505,800 = 505,800 : x
  2. Step 2: Convert to fraction form
    338,312/505,800 = 505,800/x
  3. Step 3: Cross multiply
    338,312x = 505,800 × 505,800
  4. Step 4: Simplify right side
    338,312x = 255,833,640,000
  5. Step 5: Solve for x
    x = 255,833,640,000/338,312
  6. Step 6: Final answer
    x = 756,206.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.