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Finding the Third Proportional to 40,719.50 and 88,402

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Solution

The third proportional to 40,719.50 and 88,402 is: 191,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,719.50 : 88,402 = 88,402 : x
  2. Step 2: Convert to fraction form
    40,719.50/88,402 = 88,402/x
  3. Step 3: Cross multiply
    40,719.50x = 88,402 × 88,402
  4. Step 4: Simplify right side
    40,719.50x = 7,814,913,604
  5. Step 5: Solve for x
    x = 7,814,913,604/40,719.50
  6. Step 6: Final answer
    x = 191,920.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.