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Finding the Third Proportional to 877.36 and 1,919.58

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Solution

The third proportional to 877.36 and 1,919.58 is: 4,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.36 : 1,919.58 = 1,919.58 : x
  2. Step 2: Convert to fraction form
    877.36/1,919.58 = 1,919.58/x
  3. Step 3: Cross multiply
    877.36x = 1,919.58 × 1,919.58
  4. Step 4: Simplify right side
    877.36x = 3,684,780.18
  5. Step 5: Solve for x
    x = 3,684,780.18/877.36
  6. Step 6: Final answer
    x = 4,199.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.