Home / 469-687

Finding the Third Proportional to 469 and 687

Calculator

Solution

The third proportional to 469 and 687 is: 1,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    469 : 687 = 687 : x
  2. Step 2: Convert to fraction form
    469/687 = 687/x
  3. Step 3: Cross multiply
    469x = 687 × 687
  4. Step 4: Simplify right side
    469x = 471,969
  5. Step 5: Solve for x
    x = 471,969/469
  6. Step 6: Final answer
    x = 1,006.33

Related Problems

Find third proportional to 234.50 and 343.50
Half scale
Find third proportional to 938 and 1,374
Double scale
Find third proportional to 471 and 690
Similar ratio
Find third proportional to 703.50 and 1,030.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.