Home / 561-823.50

Finding the Third Proportional to 561 and 823.50

Calculator

Solution

The third proportional to 561 and 823.50 is: 1,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561 : 823.50 = 823.50 : x
  2. Step 2: Convert to fraction form
    561/823.50 = 823.50/x
  3. Step 3: Cross multiply
    561x = 823.50 × 823.50
  4. Step 4: Simplify right side
    561x = 678,152.25
  5. Step 5: Solve for x
    x = 678,152.25/561
  6. Step 6: Final answer
    x = 1,208.83

Related Problems

Find third proportional to 280.50 and 411.75
Half scale
Find third proportional to 1,122 and 1,647
Double scale
Find third proportional to 563 and 826
Similar ratio
Find third proportional to 841.50 and 1,235.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.