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Finding the Third Proportional to 340,100 and 742,371

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Solution

The third proportional to 340,100 and 742,371 is: 1,620,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,100 : 742,371 = 742,371 : x
  2. Step 2: Convert to fraction form
    340,100/742,371 = 742,371/x
  3. Step 3: Cross multiply
    340,100x = 742,371 × 742,371
  4. Step 4: Simplify right side
    340,100x = 551,114,701,641
  5. Step 5: Solve for x
    x = 551,114,701,641/340,100
  6. Step 6: Final answer
    x = 1,620,448.99

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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.