Home / 475.50-684

Finding the Third Proportional to 475.50 and 684

Calculator

Solution

The third proportional to 475.50 and 684 is: 983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.50 : 684 = 684 : x
  2. Step 2: Convert to fraction form
    475.50/684 = 684/x
  3. Step 3: Cross multiply
    475.50x = 684 × 684
  4. Step 4: Simplify right side
    475.50x = 467,856
  5. Step 5: Solve for x
    x = 467,856/475.50
  6. Step 6: Final answer
    x = 983.92

Related Problems

Find third proportional to 237.75 and 342
Half scale
Find third proportional to 951 and 1,368
Double scale
Find third proportional to 478 and 687
Similar ratio
Find third proportional to 713.25 and 1,026
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.