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Finding the Third Proportional to 340,105 and 742,381

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Solution

The third proportional to 340,105 and 742,381 is: 1,620,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,105 : 742,381 = 742,381 : x
  2. Step 2: Convert to fraction form
    340,105/742,381 = 742,381/x
  3. Step 3: Cross multiply
    340,105x = 742,381 × 742,381
  4. Step 4: Simplify right side
    340,105x = 551,129,549,161
  5. Step 5: Solve for x
    x = 551,129,549,161/340,105
  6. Step 6: Final answer
    x = 1,620,468.82

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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.