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Finding the Third Proportional to 87,746 and 128,064

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Solution

The third proportional to 87,746 and 128,064 is: 186,907.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,746 : 128,064 = 128,064 : x
  2. Step 2: Convert to fraction form
    87,746/128,064 = 128,064/x
  3. Step 3: Cross multiply
    87,746x = 128,064 × 128,064
  4. Step 4: Simplify right side
    87,746x = 16,400,388,096
  5. Step 5: Solve for x
    x = 16,400,388,096/87,746
  6. Step 6: Final answer
    x = 186,907.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.