Home / 315.46-689.77

Finding the Third Proportional to 315.46 and 689.77

Calculator

Solution

The third proportional to 315.46 and 689.77 is: 1,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.46 : 689.77 = 689.77 : x
  2. Step 2: Convert to fraction form
    315.46/689.77 = 689.77/x
  3. Step 3: Cross multiply
    315.46x = 689.77 × 689.77
  4. Step 4: Simplify right side
    315.46x = 475,776.62
  5. Step 5: Solve for x
    x = 475,776.62/315.46
  6. Step 6: Final answer
    x = 1,508.21

Related Problems

Find third proportional to 157.73 and 344.88
Half scale
Find third proportional to 630.91 and 1,379.53
Double scale
Find third proportional to 317 and 694
Similar ratio
Find third proportional to 473.19 and 1,034.65
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.