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Finding the Third Proportional to 351,372 and 772,716

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Solution

The third proportional to 351,372 and 772,716 is: 1,699,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,372 : 772,716 = 772,716 : x
  2. Step 2: Convert to fraction form
    351,372/772,716 = 772,716/x
  3. Step 3: Cross multiply
    351,372x = 772,716 × 772,716
  4. Step 4: Simplify right side
    351,372x = 597,090,016,656
  5. Step 5: Solve for x
    x = 597,090,016,656/351,372
  6. Step 6: Final answer
    x = 1,699,310.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.