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Finding the Third Proportional to 340,119 and 739,287

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Solution

The third proportional to 340,119 and 739,287 is: 1,606,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,119 : 739,287 = 739,287 : x
  2. Step 2: Convert to fraction form
    340,119/739,287 = 739,287/x
  3. Step 3: Cross multiply
    340,119x = 739,287 × 739,287
  4. Step 4: Simplify right side
    340,119x = 546,545,268,369
  5. Step 5: Solve for x
    x = 546,545,268,369/340,119
  6. Step 6: Final answer
    x = 1,606,923.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.