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Finding the Third Proportional to 85,728 and 186,688

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Solution

The third proportional to 85,728 and 186,688 is: 406,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,728 : 186,688 = 186,688 : x
  2. Step 2: Convert to fraction form
    85,728/186,688 = 186,688/x
  3. Step 3: Cross multiply
    85,728x = 186,688 × 186,688
  4. Step 4: Simplify right side
    85,728x = 34,852,409,344
  5. Step 5: Solve for x
    x = 34,852,409,344/85,728
  6. Step 6: Final answer
    x = 406,546.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.