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Finding the Third Proportional to 340,252 and 742,762

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Solution

The third proportional to 340,252 and 742,762 is: 1,621,431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,252 : 742,762 = 742,762 : x
  2. Step 2: Convert to fraction form
    340,252/742,762 = 742,762/x
  3. Step 3: Cross multiply
    340,252x = 742,762 × 742,762
  4. Step 4: Simplify right side
    340,252x = 551,695,388,644
  5. Step 5: Solve for x
    x = 551,695,388,644/340,252
  6. Step 6: Final answer
    x = 1,621,431.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.