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Finding the Third Proportional to 344,970 and 742,400

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Solution

The third proportional to 344,970 and 742,400 is: 1,597,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,970 : 742,400 = 742,400 : x
  2. Step 2: Convert to fraction form
    344,970/742,400 = 742,400/x
  3. Step 3: Cross multiply
    344,970x = 742,400 × 742,400
  4. Step 4: Simplify right side
    344,970x = 551,157,760,000
  5. Step 5: Solve for x
    x = 551,157,760,000/344,970
  6. Step 6: Final answer
    x = 1,597,697.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.