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Finding the Third Proportional to 195,276 and 406,102.50

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Solution

The third proportional to 195,276 and 406,102.50 is: 844,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,276 : 406,102.50 = 406,102.50 : x
  2. Step 2: Convert to fraction form
    195,276/406,102.50 = 406,102.50/x
  3. Step 3: Cross multiply
    195,276x = 406,102.50 × 406,102.50
  4. Step 4: Simplify right side
    195,276x = 164,919,240,506.25
  5. Step 5: Solve for x
    x = 164,919,240,506.25/195,276
  6. Step 6: Final answer
    x = 844,544.34

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.