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Finding the Third Proportional to 134,908 and 197,988

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Solution

The third proportional to 134,908 and 197,988 is: 290,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,908 : 197,988 = 197,988 : x
  2. Step 2: Convert to fraction form
    134,908/197,988 = 197,988/x
  3. Step 3: Cross multiply
    134,908x = 197,988 × 197,988
  4. Step 4: Simplify right side
    134,908x = 39,199,248,144
  5. Step 5: Solve for x
    x = 39,199,248,144/134,908
  6. Step 6: Final answer
    x = 290,562.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.