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Finding the Third Proportional to 85,234 and 133,431

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Solution

The third proportional to 85,234 and 133,431 is: 208,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,234 : 133,431 = 133,431 : x
  2. Step 2: Convert to fraction form
    85,234/133,431 = 133,431/x
  3. Step 3: Cross multiply
    85,234x = 133,431 × 133,431
  4. Step 4: Simplify right side
    85,234x = 17,803,831,761
  5. Step 5: Solve for x
    x = 17,803,831,761/85,234
  6. Step 6: Final answer
    x = 208,881.80

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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.