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Finding the Third Proportional to 641,476.13 and 1,388,824.31

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Solution

The third proportional to 641,476.13 and 1,388,824.31 is: 3,006,866.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,476.13 : 1,388,824.31 = 1,388,824.31 : x
  2. Step 2: Convert to fraction form
    641,476.13/1,388,824.31 = 1,388,824.31/x
  3. Step 3: Cross multiply
    641,476.13x = 1,388,824.31 × 1,388,824.31
  4. Step 4: Simplify right side
    641,476.13x = 1,928,832,970,991.10
  5. Step 5: Solve for x
    x = 1,928,832,970,991.10/641,476.13
  6. Step 6: Final answer
    x = 3,006,866.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.