Home / 1,027.50-1,502

Finding the Third Proportional to 1,027.50 and 1,502

Calculator

Solution

The third proportional to 1,027.50 and 1,502 is: 2,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.50 : 1,502 = 1,502 : x
  2. Step 2: Convert to fraction form
    1,027.50/1,502 = 1,502/x
  3. Step 3: Cross multiply
    1,027.50x = 1,502 × 1,502
  4. Step 4: Simplify right side
    1,027.50x = 2,256,004
  5. Step 5: Solve for x
    x = 2,256,004/1,027.50
  6. Step 6: Final answer
    x = 2,195.62

Related Problems

Find third proportional to 513.75 and 751
Half scale
Find third proportional to 2,055 and 3,004
Double scale
Find third proportional to 1,030 and 1,505
Similar ratio
Find third proportional to 1,541.25 and 2,253
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.