Home / 525-777

Finding the Third Proportional to 525 and 777

Calculator

Solution

The third proportional to 525 and 777 is: 1,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    525 : 777 = 777 : x
  2. Step 2: Convert to fraction form
    525/777 = 777/x
  3. Step 3: Cross multiply
    525x = 777 × 777
  4. Step 4: Simplify right side
    525x = 603,729
  5. Step 5: Solve for x
    x = 603,729/525
  6. Step 6: Final answer
    x = 1,149.96

Related Problems

Find third proportional to 262.50 and 388.50
Half scale
Find third proportional to 1,050 and 1,554
Double scale
Find third proportional to 527 and 780
Similar ratio
Find third proportional to 787.50 and 1,165.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.