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Finding the Third Proportional to 1,892.81 and 2,905.45

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Solution

The third proportional to 1,892.81 and 2,905.45 is: 4,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.81 : 2,905.45 = 2,905.45 : x
  2. Step 2: Convert to fraction form
    1,892.81/2,905.45 = 2,905.45/x
  3. Step 3: Cross multiply
    1,892.81x = 2,905.45 × 2,905.45
  4. Step 4: Simplify right side
    1,892.81x = 8,441,657.86
  5. Step 5: Solve for x
    x = 8,441,657.86/1,892.81
  6. Step 6: Final answer
    x = 4,459.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.