Home / 522.75-814.13

Finding the Third Proportional to 522.75 and 814.13

Calculator

Solution

The third proportional to 522.75 and 814.13 is: 1,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 814.13 = 814.13 : x
  2. Step 2: Convert to fraction form
    522.75/814.13 = 814.13/x
  3. Step 3: Cross multiply
    522.75x = 814.13 × 814.13
  4. Step 4: Simplify right side
    522.75x = 662,799.52
  5. Step 5: Solve for x
    x = 662,799.52/522.75
  6. Step 6: Final answer
    x = 1,267.91

Related Problems

Find third proportional to 261.38 and 407.06
Half scale
Find third proportional to 1,045.50 and 1,628.25
Double scale
Find third proportional to 525 and 817
Similar ratio
Find third proportional to 784.13 and 1,221.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.