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Finding the Third Proportional to 92,625 and 143,513.50

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Solution

The third proportional to 92,625 and 143,513.50 is: 222,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,625 : 143,513.50 = 143,513.50 : x
  2. Step 2: Convert to fraction form
    92,625/143,513.50 = 143,513.50/x
  3. Step 3: Cross multiply
    92,625x = 143,513.50 × 143,513.50
  4. Step 4: Simplify right side
    92,625x = 20,596,124,682.25
  5. Step 5: Solve for x
    x = 20,596,124,682.25/92,625
  6. Step 6: Final answer
    x = 222,360.32

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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.