Home / 614-780

Finding the Third Proportional to 614 and 780

Calculator

Solution

The third proportional to 614 and 780 is: 990.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    614 : 780 = 780 : x
  2. Step 2: Convert to fraction form
    614/780 = 780/x
  3. Step 3: Cross multiply
    614x = 780 × 780
  4. Step 4: Simplify right side
    614x = 608,400
  5. Step 5: Solve for x
    x = 608,400/614
  6. Step 6: Final answer
    x = 990.88

Related Problems

Find third proportional to 307 and 390
Half scale
Find third proportional to 1,228 and 1,560
Double scale
Find third proportional to 616 and 783
Similar ratio
Find third proportional to 921 and 1,170
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.