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Finding the Third Proportional to 7,905.09 and 12,343.64

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Solution

The third proportional to 7,905.09 and 12,343.64 is: 19,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.09 : 12,343.64 = 12,343.64 : x
  2. Step 2: Convert to fraction form
    7,905.09/12,343.64 = 12,343.64/x
  3. Step 3: Cross multiply
    7,905.09x = 12,343.64 × 12,343.64
  4. Step 4: Simplify right side
    7,905.09x = 152,365,463.88
  5. Step 5: Solve for x
    x = 152,365,463.88/7,905.09
  6. Step 6: Final answer
    x = 19,274.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.