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Finding the Third Proportional to 85,868 and 128,964

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Solution

The third proportional to 85,868 and 128,964 is: 193,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,868 : 128,964 = 128,964 : x
  2. Step 2: Convert to fraction form
    85,868/128,964 = 128,964/x
  3. Step 3: Cross multiply
    85,868x = 128,964 × 128,964
  4. Step 4: Simplify right side
    85,868x = 16,631,713,296
  5. Step 5: Solve for x
    x = 16,631,713,296/85,868
  6. Step 6: Final answer
    x = 193,689.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.