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Finding the Third Proportional to 321,948 and 703,728

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Solution

The third proportional to 321,948 and 703,728 is: 1,538,239.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,948 : 703,728 = 703,728 : x
  2. Step 2: Convert to fraction form
    321,948/703,728 = 703,728/x
  3. Step 3: Cross multiply
    321,948x = 703,728 × 703,728
  4. Step 4: Simplify right side
    321,948x = 495,233,097,984
  5. Step 5: Solve for x
    x = 495,233,097,984/321,948
  6. Step 6: Final answer
    x = 1,538,239.40

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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.