Home / 713.53-814.78

Finding the Third Proportional to 713.53 and 814.78

Calculator

Solution

The third proportional to 713.53 and 814.78 is: 930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.53 : 814.78 = 814.78 : x
  2. Step 2: Convert to fraction form
    713.53/814.78 = 814.78/x
  3. Step 3: Cross multiply
    713.53x = 814.78 × 814.78
  4. Step 4: Simplify right side
    713.53x = 663,868.49
  5. Step 5: Solve for x
    x = 663,868.49/713.53
  6. Step 6: Final answer
    x = 930.40

Related Problems

Find third proportional to 356.77 and 407.39
Half scale
Find third proportional to 1,427.06 and 1,629.56
Double scale
Find third proportional to 716 and 817
Similar ratio
Find third proportional to 1,070.30 and 1,222.17
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.