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Finding the Third Proportional to 347,122 and 721,892

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Solution

The third proportional to 347,122 and 721,892 is: 1,501,282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,122 : 721,892 = 721,892 : x
  2. Step 2: Convert to fraction form
    347,122/721,892 = 721,892/x
  3. Step 3: Cross multiply
    347,122x = 721,892 × 721,892
  4. Step 4: Simplify right side
    347,122x = 521,128,059,664
  5. Step 5: Solve for x
    x = 521,128,059,664/347,122
  6. Step 6: Final answer
    x = 1,501,282.14

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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.