Home / 125-313

Finding the Third Proportional to 125 and 313

Calculator

Solution

The third proportional to 125 and 313 is: 783.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125 : 313 = 313 : x
  2. Step 2: Convert to fraction form
    125/313 = 313/x
  3. Step 3: Cross multiply
    125x = 313 × 313
  4. Step 4: Simplify right side
    125x = 97,969
  5. Step 5: Solve for x
    x = 97,969/125
  6. Step 6: Final answer
    x = 783.75

Related Problems

Find third proportional to 62.50 and 156.50
Half scale
Find third proportional to 250 and 626
Double scale
Find third proportional to 127 and 318
Similar ratio
Find third proportional to 187.50 and 469.50
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.