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Finding the Third Proportional to 875.53 and 1,903.78

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Solution

The third proportional to 875.53 and 1,903.78 is: 4,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.53 : 1,903.78 = 1,903.78 : x
  2. Step 2: Convert to fraction form
    875.53/1,903.78 = 1,903.78/x
  3. Step 3: Cross multiply
    875.53x = 1,903.78 × 1,903.78
  4. Step 4: Simplify right side
    875.53x = 3,624,383.05
  5. Step 5: Solve for x
    x = 3,624,383.05/875.53
  6. Step 6: Final answer
    x = 4,139.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.