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Finding the Third Proportional to 1,987.03 and 2,946.80

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Solution

The third proportional to 1,987.03 and 2,946.80 is: 4,370.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.03 : 2,946.80 = 2,946.80 : x
  2. Step 2: Convert to fraction form
    1,987.03/2,946.80 = 2,946.80/x
  3. Step 3: Cross multiply
    1,987.03x = 2,946.80 × 2,946.80
  4. Step 4: Simplify right side
    1,987.03x = 8,683,611.82
  5. Step 5: Solve for x
    x = 8,683,611.82/1,987.03
  6. Step 6: Final answer
    x = 4,370.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.