Home / 312.50-649.50

Finding the Third Proportional to 312.50 and 649.50

Calculator

Solution

The third proportional to 312.50 and 649.50 is: 1,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 649.50 = 649.50 : x
  2. Step 2: Convert to fraction form
    312.50/649.50 = 649.50/x
  3. Step 3: Cross multiply
    312.50x = 649.50 × 649.50
  4. Step 4: Simplify right side
    312.50x = 421,850.25
  5. Step 5: Solve for x
    x = 421,850.25/312.50
  6. Step 6: Final answer
    x = 1,349.92

Related Problems

Find third proportional to 156.25 and 324.75
Half scale
Find third proportional to 625 and 1,299
Double scale
Find third proportional to 315 and 654
Similar ratio
Find third proportional to 468.75 and 974.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.