Home / 1,307-1,539

Finding the Third Proportional to 1,307 and 1,539

Calculator

Solution

The third proportional to 1,307 and 1,539 is: 1,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307 : 1,539 = 1,539 : x
  2. Step 2: Convert to fraction form
    1,307/1,539 = 1,539/x
  3. Step 3: Cross multiply
    1,307x = 1,539 × 1,539
  4. Step 4: Simplify right side
    1,307x = 2,368,521
  5. Step 5: Solve for x
    x = 2,368,521/1,307
  6. Step 6: Final answer
    x = 1,812.18

Related Problems

Find third proportional to 653.50 and 769.50
Half scale
Find third proportional to 2,614 and 3,078
Double scale
Find third proportional to 1,309 and 1,541
Similar ratio
Find third proportional to 1,960.50 and 2,308.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.