Home / 460.69-691.03

Finding the Third Proportional to 460.69 and 691.03

Calculator

Solution

The third proportional to 460.69 and 691.03 is: 1,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 691.03 = 691.03 : x
  2. Step 2: Convert to fraction form
    460.69/691.03 = 691.03/x
  3. Step 3: Cross multiply
    460.69x = 691.03 × 691.03
  4. Step 4: Simplify right side
    460.69x = 477,524.19
  5. Step 5: Solve for x
    x = 477,524.19/460.69
  6. Step 6: Final answer
    x = 1,036.55

Related Problems

Find third proportional to 230.34 and 345.52
Half scale
Find third proportional to 921.38 and 1,382.06
Double scale
Find third proportional to 463 and 694
Similar ratio
Find third proportional to 691.03 and 1,036.55
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.