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Finding the Third Proportional to 367,299 and 778,716

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Solution

The third proportional to 367,299 and 778,716 is: 1,650,967.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,299 : 778,716 = 778,716 : x
  2. Step 2: Convert to fraction form
    367,299/778,716 = 778,716/x
  3. Step 3: Cross multiply
    367,299x = 778,716 × 778,716
  4. Step 4: Simplify right side
    367,299x = 606,398,608,656
  5. Step 5: Solve for x
    x = 606,398,608,656/367,299
  6. Step 6: Final answer
    x = 1,650,967.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.