Home / 767.50-1,637.50

Finding the Third Proportional to 767.50 and 1,637.50

Calculator

Solution

The third proportional to 767.50 and 1,637.50 is: 3,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.50 : 1,637.50 = 1,637.50 : x
  2. Step 2: Convert to fraction form
    767.50/1,637.50 = 1,637.50/x
  3. Step 3: Cross multiply
    767.50x = 1,637.50 × 1,637.50
  4. Step 4: Simplify right side
    767.50x = 2,681,406.25
  5. Step 5: Solve for x
    x = 2,681,406.25/767.50
  6. Step 6: Final answer
    x = 3,493.69

Related Problems

Find third proportional to 383.75 and 818.75
Half scale
Find third proportional to 1,535 and 3,275
Double scale
Find third proportional to 770 and 1,642
Similar ratio
Find third proportional to 1,151.25 and 2,456.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.