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Finding the Third Proportional to 481,388 and 762,906

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Solution

The third proportional to 481,388 and 762,906 is: 1,209,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,388 : 762,906 = 762,906 : x
  2. Step 2: Convert to fraction form
    481,388/762,906 = 762,906/x
  3. Step 3: Cross multiply
    481,388x = 762,906 × 762,906
  4. Step 4: Simplify right side
    481,388x = 582,025,564,836
  5. Step 5: Solve for x
    x = 582,025,564,836/481,388
  6. Step 6: Final answer
    x = 1,209,057.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.