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Finding the Third Proportional to 1,918 and 2,888.50

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Solution

The third proportional to 1,918 and 2,888.50 is: 4,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918 : 2,888.50 = 2,888.50 : x
  2. Step 2: Convert to fraction form
    1,918/2,888.50 = 2,888.50/x
  3. Step 3: Cross multiply
    1,918x = 2,888.50 × 2,888.50
  4. Step 4: Simplify right side
    1,918x = 8,343,432.25
  5. Step 5: Solve for x
    x = 8,343,432.25/1,918
  6. Step 6: Final answer
    x = 4,350.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.