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Finding the Third Proportional to 347,172 and 721,986

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Solution

The third proportional to 347,172 and 721,986 is: 1,501,456.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,172 : 721,986 = 721,986 : x
  2. Step 2: Convert to fraction form
    347,172/721,986 = 721,986/x
  3. Step 3: Cross multiply
    347,172x = 721,986 × 721,986
  4. Step 4: Simplify right side
    347,172x = 521,263,784,196
  5. Step 5: Solve for x
    x = 521,263,784,196/347,172
  6. Step 6: Final answer
    x = 1,501,456.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.