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Finding the Third Proportional to 1,256.75 and 1,652.50

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Solution

The third proportional to 1,256.75 and 1,652.50 is: 2,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.75 : 1,652.50 = 1,652.50 : x
  2. Step 2: Convert to fraction form
    1,256.75/1,652.50 = 1,652.50/x
  3. Step 3: Cross multiply
    1,256.75x = 1,652.50 × 1,652.50
  4. Step 4: Simplify right side
    1,256.75x = 2,730,756.25
  5. Step 5: Solve for x
    x = 2,730,756.25/1,256.75
  6. Step 6: Final answer
    x = 2,172.87

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.