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Finding the Third Proportional to 339,600 and 716,368

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Solution

The third proportional to 339,600 and 716,368 is: 1,511,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,600 : 716,368 = 716,368 : x
  2. Step 2: Convert to fraction form
    339,600/716,368 = 716,368/x
  3. Step 3: Cross multiply
    339,600x = 716,368 × 716,368
  4. Step 4: Simplify right side
    339,600x = 513,183,111,424
  5. Step 5: Solve for x
    x = 513,183,111,424/339,600
  6. Step 6: Final answer
    x = 1,511,139.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.