Home / 971.13-1,311.50

Finding the Third Proportional to 971.13 and 1,311.50

Calculator

Solution

The third proportional to 971.13 and 1,311.50 is: 1,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.13 : 1,311.50 = 1,311.50 : x
  2. Step 2: Convert to fraction form
    971.13/1,311.50 = 1,311.50/x
  3. Step 3: Cross multiply
    971.13x = 1,311.50 × 1,311.50
  4. Step 4: Simplify right side
    971.13x = 1,720,032.25
  5. Step 5: Solve for x
    x = 1,720,032.25/971.13
  6. Step 6: Final answer
    x = 1,771.17

Related Problems

Find third proportional to 485.56 and 655.75
Half scale
Find third proportional to 1,942.25 and 2,623
Double scale
Find third proportional to 973 and 1,314
Similar ratio
Find third proportional to 1,456.69 and 1,967.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.