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Finding the Third Proportional to 28,816 and 43,040

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Solution

The third proportional to 28,816 and 43,040 is: 64,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,816 : 43,040 = 43,040 : x
  2. Step 2: Convert to fraction form
    28,816/43,040 = 43,040/x
  3. Step 3: Cross multiply
    28,816x = 43,040 × 43,040
  4. Step 4: Simplify right side
    28,816x = 1,852,441,600
  5. Step 5: Solve for x
    x = 1,852,441,600/28,816
  6. Step 6: Final answer
    x = 64,285.17

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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.