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Finding the Third Proportional to 134,610 and 208,406

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Solution

The third proportional to 134,610 and 208,406 is: 322,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,610 : 208,406 = 208,406 : x
  2. Step 2: Convert to fraction form
    134,610/208,406 = 208,406/x
  3. Step 3: Cross multiply
    134,610x = 208,406 × 208,406
  4. Step 4: Simplify right side
    134,610x = 43,433,060,836
  5. Step 5: Solve for x
    x = 43,433,060,836/134,610
  6. Step 6: Final answer
    x = 322,658.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.