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Finding the Third Proportional to 481,518 and 763,128

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Solution

The third proportional to 481,518 and 763,128 is: 1,209,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,518 : 763,128 = 763,128 : x
  2. Step 2: Convert to fraction form
    481,518/763,128 = 763,128/x
  3. Step 3: Cross multiply
    481,518x = 763,128 × 763,128
  4. Step 4: Simplify right side
    481,518x = 582,364,344,384
  5. Step 5: Solve for x
    x = 582,364,344,384/481,518
  6. Step 6: Final answer
    x = 1,209,434.22

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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.