Home / 358-654

Finding the Third Proportional to 358 and 654

Calculator

Solution

The third proportional to 358 and 654 is: 1,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358 : 654 = 654 : x
  2. Step 2: Convert to fraction form
    358/654 = 654/x
  3. Step 3: Cross multiply
    358x = 654 × 654
  4. Step 4: Simplify right side
    358x = 427,716
  5. Step 5: Solve for x
    x = 427,716/358
  6. Step 6: Final answer
    x = 1,194.74

Related Problems

Find third proportional to 179 and 327
Half scale
Find third proportional to 716 and 1,308
Double scale
Find third proportional to 360 and 658
Similar ratio
Find third proportional to 537 and 981
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.