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Finding the Third Proportional to 87,734 and 128,046

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Solution

The third proportional to 87,734 and 128,046 is: 186,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,734 : 128,046 = 128,046 : x
  2. Step 2: Convert to fraction form
    87,734/128,046 = 128,046/x
  3. Step 3: Cross multiply
    87,734x = 128,046 × 128,046
  4. Step 4: Simplify right side
    87,734x = 16,395,778,116
  5. Step 5: Solve for x
    x = 16,395,778,116/87,734
  6. Step 6: Final answer
    x = 186,880.55

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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.