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Finding the Third Proportional to 340,069 and 742,456

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Solution

The third proportional to 340,069 and 742,456 is: 1,620,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,069 : 742,456 = 742,456 : x
  2. Step 2: Convert to fraction form
    340,069/742,456 = 742,456/x
  3. Step 3: Cross multiply
    340,069x = 742,456 × 742,456
  4. Step 4: Simplify right side
    340,069x = 551,240,911,936
  5. Step 5: Solve for x
    x = 551,240,911,936/340,069
  6. Step 6: Final answer
    x = 1,620,967.84

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