Home / 785-953

Finding the Third Proportional to 785 and 953

Calculator

Solution

The third proportional to 785 and 953 is: 1,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    785 : 953 = 953 : x
  2. Step 2: Convert to fraction form
    785/953 = 953/x
  3. Step 3: Cross multiply
    785x = 953 × 953
  4. Step 4: Simplify right side
    785x = 908,209
  5. Step 5: Solve for x
    x = 908,209/785
  6. Step 6: Final answer
    x = 1,156.95

Related Problems

Find third proportional to 392.50 and 476.50
Half scale
Find third proportional to 1,570 and 1,906
Double scale
Find third proportional to 787 and 955
Similar ratio
Find third proportional to 1,177.50 and 1,429.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.