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Finding the Third Proportional to 345,720 and 739,392

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Solution

The third proportional to 345,720 and 739,392 is: 1,581,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,720 : 739,392 = 739,392 : x
  2. Step 2: Convert to fraction form
    345,720/739,392 = 739,392/x
  3. Step 3: Cross multiply
    345,720x = 739,392 × 739,392
  4. Step 4: Simplify right side
    345,720x = 546,700,529,664
  5. Step 5: Solve for x
    x = 546,700,529,664/345,720
  6. Step 6: Final answer
    x = 1,581,339.03

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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.