Home / 415-660

Finding the Third Proportional to 415 and 660

Calculator

Solution

The third proportional to 415 and 660 is: 1,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 660 = 660 : x
  2. Step 2: Convert to fraction form
    415/660 = 660/x
  3. Step 3: Cross multiply
    415x = 660 × 660
  4. Step 4: Simplify right side
    415x = 435,600
  5. Step 5: Solve for x
    x = 435,600/415
  6. Step 6: Final answer
    x = 1,049.64

Related Problems

Find third proportional to 207.50 and 330
Half scale
Find third proportional to 830 and 1,320
Double scale
Find third proportional to 417 and 663
Similar ratio
Find third proportional to 622.50 and 990
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.