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Finding the Third Proportional to 85,328 and 133,840

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Solution

The third proportional to 85,328 and 133,840 is: 209,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,328 : 133,840 = 133,840 : x
  2. Step 2: Convert to fraction form
    85,328/133,840 = 133,840/x
  3. Step 3: Cross multiply
    85,328x = 133,840 × 133,840
  4. Step 4: Simplify right side
    85,328x = 17,913,145,600
  5. Step 5: Solve for x
    x = 17,913,145,600/85,328
  6. Step 6: Final answer
    x = 209,932.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.