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Finding the Third Proportional to 847.75 and 1,980.63

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Solution

The third proportional to 847.75 and 1,980.63 is: 4,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.75 : 1,980.63 = 1,980.63 : x
  2. Step 2: Convert to fraction form
    847.75/1,980.63 = 1,980.63/x
  3. Step 3: Cross multiply
    847.75x = 1,980.63 × 1,980.63
  4. Step 4: Simplify right side
    847.75x = 3,922,875.39
  5. Step 5: Solve for x
    x = 3,922,875.39/847.75
  6. Step 6: Final answer
    x = 4,627.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.