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Finding the Third Proportional to 30,728 and 45,896

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Solution

The third proportional to 30,728 and 45,896 is: 68,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728 : 45,896 = 45,896 : x
  2. Step 2: Convert to fraction form
    30,728/45,896 = 45,896/x
  3. Step 3: Cross multiply
    30,728x = 45,896 × 45,896
  4. Step 4: Simplify right side
    30,728x = 2,106,442,816
  5. Step 5: Solve for x
    x = 2,106,442,816/30,728
  6. Step 6: Final answer
    x = 68,551.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.