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Finding the Third Proportional to 344,309 and 738,424

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Solution

The third proportional to 344,309 and 738,424 is: 1,583,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,309 : 738,424 = 738,424 : x
  2. Step 2: Convert to fraction form
    344,309/738,424 = 738,424/x
  3. Step 3: Cross multiply
    344,309x = 738,424 × 738,424
  4. Step 4: Simplify right side
    344,309x = 545,270,003,776
  5. Step 5: Solve for x
    x = 545,270,003,776/344,309
  6. Step 6: Final answer
    x = 1,583,664.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.