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Finding the Third Proportional to 340,640 and 703,146

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Solution

The third proportional to 340,640 and 703,146 is: 1,451,427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,640 : 703,146 = 703,146 : x
  2. Step 2: Convert to fraction form
    340,640/703,146 = 703,146/x
  3. Step 3: Cross multiply
    340,640x = 703,146 × 703,146
  4. Step 4: Simplify right side
    340,640x = 494,414,297,316
  5. Step 5: Solve for x
    x = 494,414,297,316/340,640
  6. Step 6: Final answer
    x = 1,451,427.60

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.