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Finding the Third Proportional to 2,128.75 and 2,980.13

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Solution

The third proportional to 2,128.75 and 2,980.13 is: 4,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.75 : 2,980.13 = 2,980.13 : x
  2. Step 2: Convert to fraction form
    2,128.75/2,980.13 = 2,980.13/x
  3. Step 3: Cross multiply
    2,128.75x = 2,980.13 × 2,980.13
  4. Step 4: Simplify right side
    2,128.75x = 8,881,145.02
  5. Step 5: Solve for x
    x = 8,881,145.02/2,128.75
  6. Step 6: Final answer
    x = 4,172.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.