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Finding the Third Proportional to 870.12 and 1,813.64

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Solution

The third proportional to 870.12 and 1,813.64 is: 3,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.12 : 1,813.64 = 1,813.64 : x
  2. Step 2: Convert to fraction form
    870.12/1,813.64 = 1,813.64/x
  3. Step 3: Cross multiply
    870.12x = 1,813.64 × 1,813.64
  4. Step 4: Simplify right side
    870.12x = 3,289,292.32
  5. Step 5: Solve for x
    x = 3,289,292.32/870.12
  6. Step 6: Final answer
    x = 3,780.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.