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Finding the Third Proportional to 43,388 and 64,911

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Solution

The third proportional to 43,388 and 64,911 is: 97,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,388 : 64,911 = 64,911 : x
  2. Step 2: Convert to fraction form
    43,388/64,911 = 64,911/x
  3. Step 3: Cross multiply
    43,388x = 64,911 × 64,911
  4. Step 4: Simplify right side
    43,388x = 4,213,437,921
  5. Step 5: Solve for x
    x = 4,213,437,921/43,388
  6. Step 6: Final answer
    x = 97,110.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.