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Finding the Third Proportional to 340,858 and 747,976

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Solution

The third proportional to 340,858 and 747,976 is: 1,641,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,858 : 747,976 = 747,976 : x
  2. Step 2: Convert to fraction form
    340,858/747,976 = 747,976/x
  3. Step 3: Cross multiply
    340,858x = 747,976 × 747,976
  4. Step 4: Simplify right side
    340,858x = 559,468,096,576
  5. Step 5: Solve for x
    x = 559,468,096,576/340,858
  6. Step 6: Final answer
    x = 1,641,352.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.