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Finding the Third Proportional to 985.08 and 2,136.80

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Solution

The third proportional to 985.08 and 2,136.80 is: 4,635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.08 : 2,136.80 = 2,136.80 : x
  2. Step 2: Convert to fraction form
    985.08/2,136.80 = 2,136.80/x
  3. Step 3: Cross multiply
    985.08x = 2,136.80 × 2,136.80
  4. Step 4: Simplify right side
    985.08x = 4,565,900.89
  5. Step 5: Solve for x
    x = 4,565,900.89/985.08
  6. Step 6: Final answer
    x = 4,635.06

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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.