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Finding the Third Proportional to 340,098 and 742,366

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Solution

The third proportional to 340,098 and 742,366 is: 1,620,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,098 : 742,366 = 742,366 : x
  2. Step 2: Convert to fraction form
    340,098/742,366 = 742,366/x
  3. Step 3: Cross multiply
    340,098x = 742,366 × 742,366
  4. Step 4: Simplify right side
    340,098x = 551,107,277,956
  5. Step 5: Solve for x
    x = 551,107,277,956/340,098
  6. Step 6: Final answer
    x = 1,620,436.69

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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.