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Finding the Third Proportional to 490,344 and 742,852

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Solution

The third proportional to 490,344 and 742,852 is: 1,125,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,344 : 742,852 = 742,852 : x
  2. Step 2: Convert to fraction form
    490,344/742,852 = 742,852/x
  3. Step 3: Cross multiply
    490,344x = 742,852 × 742,852
  4. Step 4: Simplify right side
    490,344x = 551,829,093,904
  5. Step 5: Solve for x
    x = 551,829,093,904/490,344
  6. Step 6: Final answer
    x = 1,125,391.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.