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Finding the Third Proportional to 84,072 and 128,550

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Solution

The third proportional to 84,072 and 128,550 is: 196,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,072 : 128,550 = 128,550 : x
  2. Step 2: Convert to fraction form
    84,072/128,550 = 128,550/x
  3. Step 3: Cross multiply
    84,072x = 128,550 × 128,550
  4. Step 4: Simplify right side
    84,072x = 16,525,102,500
  5. Step 5: Solve for x
    x = 16,525,102,500/84,072
  6. Step 6: Final answer
    x = 196,558.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.