Home / 567-830.25

Finding the Third Proportional to 567 and 830.25

Calculator

Solution

The third proportional to 567 and 830.25 is: 1,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    567 : 830.25 = 830.25 : x
  2. Step 2: Convert to fraction form
    567/830.25 = 830.25/x
  3. Step 3: Cross multiply
    567x = 830.25 × 830.25
  4. Step 4: Simplify right side
    567x = 689,315.06
  5. Step 5: Solve for x
    x = 689,315.06/567
  6. Step 6: Final answer
    x = 1,215.72

Related Problems

Find third proportional to 283.50 and 415.13
Half scale
Find third proportional to 1,134 and 1,660.50
Double scale
Find third proportional to 569 and 833
Similar ratio
Find third proportional to 850.50 and 1,245.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.