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Finding the Third Proportional to 128,688 and 198,024

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Solution

The third proportional to 128,688 and 198,024 is: 304,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,688 : 198,024 = 198,024 : x
  2. Step 2: Convert to fraction form
    128,688/198,024 = 198,024/x
  3. Step 3: Cross multiply
    128,688x = 198,024 × 198,024
  4. Step 4: Simplify right side
    128,688x = 39,213,504,576
  5. Step 5: Solve for x
    x = 39,213,504,576/128,688
  6. Step 6: Final answer
    x = 304,717.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.