Home / 317.50-412

Finding the Third Proportional to 317.50 and 412

Calculator

Solution

The third proportional to 317.50 and 412 is: 534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.50 : 412 = 412 : x
  2. Step 2: Convert to fraction form
    317.50/412 = 412/x
  3. Step 3: Cross multiply
    317.50x = 412 × 412
  4. Step 4: Simplify right side
    317.50x = 169,744
  5. Step 5: Solve for x
    x = 169,744/317.50
  6. Step 6: Final answer
    x = 534.63

Related Problems

Find third proportional to 158.75 and 206
Half scale
Find third proportional to 635 and 824
Double scale
Find third proportional to 320 and 415
Similar ratio
Find third proportional to 476.25 and 618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.