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Finding the Third Proportional to 2,044 and 3,206.50

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Solution

The third proportional to 2,044 and 3,206.50 is: 5,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044 : 3,206.50 = 3,206.50 : x
  2. Step 2: Convert to fraction form
    2,044/3,206.50 = 3,206.50/x
  3. Step 3: Cross multiply
    2,044x = 3,206.50 × 3,206.50
  4. Step 4: Simplify right side
    2,044x = 10,281,642.25
  5. Step 5: Solve for x
    x = 10,281,642.25/2,044
  6. Step 6: Final answer
    x = 5,030.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.