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Finding the Third Proportional to 345,718 and 739,388

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Solution

The third proportional to 345,718 and 739,388 is: 1,581,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,718 : 739,388 = 739,388 : x
  2. Step 2: Convert to fraction form
    345,718/739,388 = 739,388/x
  3. Step 3: Cross multiply
    345,718x = 739,388 × 739,388
  4. Step 4: Simplify right side
    345,718x = 546,694,614,544
  5. Step 5: Solve for x
    x = 546,694,614,544/345,718
  6. Step 6: Final answer
    x = 1,581,331.07

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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.