Home / 1,019-1,534

Finding the Third Proportional to 1,019 and 1,534

Calculator

Solution

The third proportional to 1,019 and 1,534 is: 2,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019 : 1,534 = 1,534 : x
  2. Step 2: Convert to fraction form
    1,019/1,534 = 1,534/x
  3. Step 3: Cross multiply
    1,019x = 1,534 × 1,534
  4. Step 4: Simplify right side
    1,019x = 2,353,156
  5. Step 5: Solve for x
    x = 2,353,156/1,019
  6. Step 6: Final answer
    x = 2,309.28

Related Problems

Find third proportional to 509.50 and 767
Half scale
Find third proportional to 2,038 and 3,068
Double scale
Find third proportional to 1,021 and 1,537
Similar ratio
Find third proportional to 1,528.50 and 2,301
1.5x scale

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.