Home / 772.50-1,657.50

Finding the Third Proportional to 772.50 and 1,657.50

Calculator

Solution

The third proportional to 772.50 and 1,657.50 is: 3,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.50 : 1,657.50 = 1,657.50 : x
  2. Step 2: Convert to fraction form
    772.50/1,657.50 = 1,657.50/x
  3. Step 3: Cross multiply
    772.50x = 1,657.50 × 1,657.50
  4. Step 4: Simplify right side
    772.50x = 2,747,306.25
  5. Step 5: Solve for x
    x = 2,747,306.25/772.50
  6. Step 6: Final answer
    x = 3,556.38

Related Problems

Find third proportional to 386.25 and 828.75
Half scale
Find third proportional to 1,545 and 3,315
Double scale
Find third proportional to 775 and 1,662
Similar ratio
Find third proportional to 1,158.75 and 2,486.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.