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Finding the Third Proportional to 137,787.75 and 197,454

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Solution

The third proportional to 137,787.75 and 197,454 is: 282,957.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,787.75 : 197,454 = 197,454 : x
  2. Step 2: Convert to fraction form
    137,787.75/197,454 = 197,454/x
  3. Step 3: Cross multiply
    137,787.75x = 197,454 × 197,454
  4. Step 4: Simplify right side
    137,787.75x = 38,988,082,116
  5. Step 5: Solve for x
    x = 38,988,082,116/137,787.75
  6. Step 6: Final answer
    x = 282,957.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.