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Finding the Third Proportional to 340,144 and 742,454

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Solution

The third proportional to 340,144 and 742,454 is: 1,620,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,144 : 742,454 = 742,454 : x
  2. Step 2: Convert to fraction form
    340,144/742,454 = 742,454/x
  3. Step 3: Cross multiply
    340,144x = 742,454 × 742,454
  4. Step 4: Simplify right side
    340,144x = 551,237,942,116
  5. Step 5: Solve for x
    x = 551,237,942,116/340,144
  6. Step 6: Final answer
    x = 1,620,601.69

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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.