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Finding the Third Proportional to 1,030.50 and 1,617.75

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Solution

The third proportional to 1,030.50 and 1,617.75 is: 2,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.50 : 1,617.75 = 1,617.75 : x
  2. Step 2: Convert to fraction form
    1,030.50/1,617.75 = 1,617.75/x
  3. Step 3: Cross multiply
    1,030.50x = 1,617.75 × 1,617.75
  4. Step 4: Simplify right side
    1,030.50x = 2,617,115.06
  5. Step 5: Solve for x
    x = 2,617,115.06/1,030.50
  6. Step 6: Final answer
    x = 2,539.66

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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.