Home / 514-770

Finding the Third Proportional to 514 and 770

Calculator

Solution

The third proportional to 514 and 770 is: 1,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    514 : 770 = 770 : x
  2. Step 2: Convert to fraction form
    514/770 = 770/x
  3. Step 3: Cross multiply
    514x = 770 × 770
  4. Step 4: Simplify right side
    514x = 592,900
  5. Step 5: Solve for x
    x = 592,900/514
  6. Step 6: Final answer
    x = 1,153.50

Related Problems

Find third proportional to 257 and 385
Half scale
Find third proportional to 1,028 and 1,540
Double scale
Find third proportional to 516 and 773
Similar ratio
Find third proportional to 771 and 1,155
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.