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Finding the Third Proportional to 8,916.75 and 12,740.63

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Solution

The third proportional to 8,916.75 and 12,740.63 is: 18,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,916.75 : 12,740.63 = 12,740.63 : x
  2. Step 2: Convert to fraction form
    8,916.75/12,740.63 = 12,740.63/x
  3. Step 3: Cross multiply
    8,916.75x = 12,740.63 × 12,740.63
  4. Step 4: Simplify right side
    8,916.75x = 162,323,525.39
  5. Step 5: Solve for x
    x = 162,323,525.39/8,916.75
  6. Step 6: Final answer
    x = 18,204.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.