Home / 262.50-656.25

Finding the Third Proportional to 262.50 and 656.25

Calculator

Solution

The third proportional to 262.50 and 656.25 is: 1,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 656.25 = 656.25 : x
  2. Step 2: Convert to fraction form
    262.50/656.25 = 656.25/x
  3. Step 3: Cross multiply
    262.50x = 656.25 × 656.25
  4. Step 4: Simplify right side
    262.50x = 430,664.06
  5. Step 5: Solve for x
    x = 430,664.06/262.50
  6. Step 6: Final answer
    x = 1,640.63

Related Problems

Find third proportional to 131.25 and 328.13
Half scale
Find third proportional to 525 and 1,312.50
Double scale
Find third proportional to 265 and 661
Similar ratio
Find third proportional to 393.75 and 984.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.