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Finding the Third Proportional to 8,124.05 and 10,847.67

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Solution

The third proportional to 8,124.05 and 10,847.67 is: 14,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.05 : 10,847.67 = 10,847.67 : x
  2. Step 2: Convert to fraction form
    8,124.05/10,847.67 = 10,847.67/x
  3. Step 3: Cross multiply
    8,124.05x = 10,847.67 × 10,847.67
  4. Step 4: Simplify right side
    8,124.05x = 117,671,985.11
  5. Step 5: Solve for x
    x = 117,671,985.11/8,124.05
  6. Step 6: Final answer
    x = 14,484.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.