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Finding the Third Proportional to 1,386.28 and 3,038.34

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Solution

The third proportional to 1,386.28 and 3,038.34 is: 6,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.28 : 3,038.34 = 3,038.34 : x
  2. Step 2: Convert to fraction form
    1,386.28/3,038.34 = 3,038.34/x
  3. Step 3: Cross multiply
    1,386.28x = 3,038.34 × 3,038.34
  4. Step 4: Simplify right side
    1,386.28x = 9,231,532.74
  5. Step 5: Solve for x
    x = 9,231,532.74/1,386.28
  6. Step 6: Final answer
    x = 6,659.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.