Home / 605.81-829.97

Finding the Third Proportional to 605.81 and 829.97

Calculator

Solution

The third proportional to 605.81 and 829.97 is: 1,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.81 : 829.97 = 829.97 : x
  2. Step 2: Convert to fraction form
    605.81/829.97 = 829.97/x
  3. Step 3: Cross multiply
    605.81x = 829.97 × 829.97
  4. Step 4: Simplify right side
    605.81x = 688,848.13
  5. Step 5: Solve for x
    x = 688,848.13/605.81
  6. Step 6: Final answer
    x = 1,137.06

Related Problems

Find third proportional to 302.91 and 414.98
Half scale
Find third proportional to 1,211.63 and 1,659.94
Double scale
Find third proportional to 608 and 833
Similar ratio
Find third proportional to 908.72 and 1,244.95
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.