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Finding the Third Proportional to 347,124 and 721,896

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Solution

The third proportional to 347,124 and 721,896 is: 1,501,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,124 : 721,896 = 721,896 : x
  2. Step 2: Convert to fraction form
    347,124/721,896 = 721,896/x
  3. Step 3: Cross multiply
    347,124x = 721,896 × 721,896
  4. Step 4: Simplify right side
    347,124x = 521,133,834,816
  5. Step 5: Solve for x
    x = 521,133,834,816/347,124
  6. Step 6: Final answer
    x = 1,501,290.13

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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.