Home / 1,305-1,597.50

Finding the Third Proportional to 1,305 and 1,597.50

Calculator

Solution

The third proportional to 1,305 and 1,597.50 is: 1,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305 : 1,597.50 = 1,597.50 : x
  2. Step 2: Convert to fraction form
    1,305/1,597.50 = 1,597.50/x
  3. Step 3: Cross multiply
    1,305x = 1,597.50 × 1,597.50
  4. Step 4: Simplify right side
    1,305x = 2,552,006.25
  5. Step 5: Solve for x
    x = 2,552,006.25/1,305
  6. Step 6: Final answer
    x = 1,955.56

Related Problems

Find third proportional to 652.50 and 798.75
Half scale
Find third proportional to 2,610 and 3,195
Double scale
Find third proportional to 1,307 and 1,600
Similar ratio
Find third proportional to 1,957.50 and 2,396.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.