Home / 413-772

Finding the Third Proportional to 413 and 772

Calculator

Solution

The third proportional to 413 and 772 is: 1,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413 : 772 = 772 : x
  2. Step 2: Convert to fraction form
    413/772 = 772/x
  3. Step 3: Cross multiply
    413x = 772 × 772
  4. Step 4: Simplify right side
    413x = 595,984
  5. Step 5: Solve for x
    x = 595,984/413
  6. Step 6: Final answer
    x = 1,443.06

Related Problems

Find third proportional to 206.50 and 386
Half scale
Find third proportional to 826 and 1,544
Double scale
Find third proportional to 415 and 776
Similar ratio
Find third proportional to 619.50 and 1,158
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.