Home / 997-1,540

Finding the Third Proportional to 997 and 1,540

Calculator

Solution

The third proportional to 997 and 1,540 is: 2,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    997 : 1,540 = 1,540 : x
  2. Step 2: Convert to fraction form
    997/1,540 = 1,540/x
  3. Step 3: Cross multiply
    997x = 1,540 × 1,540
  4. Step 4: Simplify right side
    997x = 2,371,600
  5. Step 5: Solve for x
    x = 2,371,600/997
  6. Step 6: Final answer
    x = 2,378.74

Related Problems

Find third proportional to 498.50 and 770
Half scale
Find third proportional to 1,994 and 3,080
Double scale
Find third proportional to 999 and 1,543
Similar ratio
Find third proportional to 1,495.50 and 2,310
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.