Home / 692.50-986

Finding the Third Proportional to 692.50 and 986

Calculator

Solution

The third proportional to 692.50 and 986 is: 1,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.50 : 986 = 986 : x
  2. Step 2: Convert to fraction form
    692.50/986 = 986/x
  3. Step 3: Cross multiply
    692.50x = 986 × 986
  4. Step 4: Simplify right side
    692.50x = 972,196
  5. Step 5: Solve for x
    x = 972,196/692.50
  6. Step 6: Final answer
    x = 1,403.89

Related Problems

Find third proportional to 346.25 and 493
Half scale
Find third proportional to 1,385 and 1,972
Double scale
Find third proportional to 695 and 989
Similar ratio
Find third proportional to 1,038.75 and 1,479
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.