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Finding the Third Proportional to 490,090.50 and 742,520.25

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Solution

The third proportional to 490,090.50 and 742,520.25 is: 1,124,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,090.50 : 742,520.25 = 742,520.25 : x
  2. Step 2: Convert to fraction form
    490,090.50/742,520.25 = 742,520.25/x
  3. Step 3: Cross multiply
    490,090.50x = 742,520.25 × 742,520.25
  4. Step 4: Simplify right side
    490,090.50x = 551,336,321,660.06
  5. Step 5: Solve for x
    x = 551,336,321,660.06/490,090.50
  6. Step 6: Final answer
    x = 1,124,968.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.