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Finding the Third Proportional to 92,343 and 143,266.50

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Solution

The third proportional to 92,343 and 143,266.50 is: 222,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,343 : 143,266.50 = 143,266.50 : x
  2. Step 2: Convert to fraction form
    92,343/143,266.50 = 143,266.50/x
  3. Step 3: Cross multiply
    92,343x = 143,266.50 × 143,266.50
  4. Step 4: Simplify right side
    92,343x = 20,525,290,022.25
  5. Step 5: Solve for x
    x = 20,525,290,022.25/92,343
  6. Step 6: Final answer
    x = 222,272.29

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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.