Home / 610.31-869.63

Finding the Third Proportional to 610.31 and 869.63

Calculator

Solution

The third proportional to 610.31 and 869.63 is: 1,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.31 : 869.63 = 869.63 : x
  2. Step 2: Convert to fraction form
    610.31/869.63 = 869.63/x
  3. Step 3: Cross multiply
    610.31x = 869.63 × 869.63
  4. Step 4: Simplify right side
    610.31x = 756,247.64
  5. Step 5: Solve for x
    x = 756,247.64/610.31
  6. Step 6: Final answer
    x = 1,239.12

Related Problems

Find third proportional to 305.16 and 434.81
Half scale
Find third proportional to 1,220.63 and 1,739.25
Double scale
Find third proportional to 612 and 872
Similar ratio
Find third proportional to 915.47 and 1,304.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.