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Finding the Third Proportional to 1,877.63 and 4,078.13

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Solution

The third proportional to 1,877.63 and 4,078.13 is: 8,857.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.63 : 4,078.13 = 4,078.13 : x
  2. Step 2: Convert to fraction form
    1,877.63/4,078.13 = 4,078.13/x
  3. Step 3: Cross multiply
    1,877.63x = 4,078.13 × 4,078.13
  4. Step 4: Simplify right side
    1,877.63x = 16,631,103.52
  5. Step 5: Solve for x
    x = 16,631,103.52/1,877.63
  6. Step 6: Final answer
    x = 8,857.52

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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.