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Finding the Third Proportional to 345,102 and 738,182

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Solution

The third proportional to 345,102 and 738,182 is: 1,578,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,102 : 738,182 = 738,182 : x
  2. Step 2: Convert to fraction form
    345,102/738,182 = 738,182/x
  3. Step 3: Cross multiply
    345,102x = 738,182 × 738,182
  4. Step 4: Simplify right side
    345,102x = 544,912,665,124
  5. Step 5: Solve for x
    x = 544,912,665,124/345,102
  6. Step 6: Final answer
    x = 1,578,990.17

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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.