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Finding the Third Proportional to 84,756.50 and 128,229

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Solution

The third proportional to 84,756.50 and 128,229 is: 193,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,756.50 : 128,229 = 128,229 : x
  2. Step 2: Convert to fraction form
    84,756.50/128,229 = 128,229/x
  3. Step 3: Cross multiply
    84,756.50x = 128,229 × 128,229
  4. Step 4: Simplify right side
    84,756.50x = 16,442,676,441
  5. Step 5: Solve for x
    x = 16,442,676,441/84,756.50
  6. Step 6: Final answer
    x = 193,999.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.