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Finding the Third Proportional to 93,086.50 and 143,842

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Solution

The third proportional to 93,086.50 and 143,842 is: 222,271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,086.50 : 143,842 = 143,842 : x
  2. Step 2: Convert to fraction form
    93,086.50/143,842 = 143,842/x
  3. Step 3: Cross multiply
    93,086.50x = 143,842 × 143,842
  4. Step 4: Simplify right side
    93,086.50x = 20,690,520,964
  5. Step 5: Solve for x
    x = 20,690,520,964/93,086.50
  6. Step 6: Final answer
    x = 222,271.98

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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.