Home / 523-830

Finding the Third Proportional to 523 and 830

Calculator

Solution

The third proportional to 523 and 830 is: 1,317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 830 = 830 : x
  2. Step 2: Convert to fraction form
    523/830 = 830/x
  3. Step 3: Cross multiply
    523x = 830 × 830
  4. Step 4: Simplify right side
    523x = 688,900
  5. Step 5: Solve for x
    x = 688,900/523
  6. Step 6: Final answer
    x = 1,317.21

Related Problems

Find third proportional to 261.50 and 415
Half scale
Find third proportional to 1,046 and 1,660
Double scale
Find third proportional to 525 and 833
Similar ratio
Find third proportional to 784.50 and 1,245
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.