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Finding the Third Proportional to 742,909 and 1,628,224

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Solution

The third proportional to 742,909 and 1,628,224 is: 3,568,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,909 : 1,628,224 = 1,628,224 : x
  2. Step 2: Convert to fraction form
    742,909/1,628,224 = 1,628,224/x
  3. Step 3: Cross multiply
    742,909x = 1,628,224 × 1,628,224
  4. Step 4: Simplify right side
    742,909x = 2,651,113,394,176
  5. Step 5: Solve for x
    x = 2,651,113,394,176/742,909
  6. Step 6: Final answer
    x = 3,568,557.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.