Home / 1,297-1,561

Finding the Third Proportional to 1,297 and 1,561

Calculator

Solution

The third proportional to 1,297 and 1,561 is: 1,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297 : 1,561 = 1,561 : x
  2. Step 2: Convert to fraction form
    1,297/1,561 = 1,561/x
  3. Step 3: Cross multiply
    1,297x = 1,561 × 1,561
  4. Step 4: Simplify right side
    1,297x = 2,436,721
  5. Step 5: Solve for x
    x = 2,436,721/1,297
  6. Step 6: Final answer
    x = 1,878.74

Related Problems

Find third proportional to 648.50 and 780.50
Half scale
Find third proportional to 2,594 and 3,122
Double scale
Find third proportional to 1,299 and 1,563
Similar ratio
Find third proportional to 1,945.50 and 2,341.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.