Home / 592-654

Finding the Third Proportional to 592 and 654

Calculator

Solution

The third proportional to 592 and 654 is: 722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    592 : 654 = 654 : x
  2. Step 2: Convert to fraction form
    592/654 = 654/x
  3. Step 3: Cross multiply
    592x = 654 × 654
  4. Step 4: Simplify right side
    592x = 427,716
  5. Step 5: Solve for x
    x = 427,716/592
  6. Step 6: Final answer
    x = 722.49

Related Problems

Find third proportional to 296 and 327
Half scale
Find third proportional to 1,184 and 1,308
Double scale
Find third proportional to 594 and 656
Similar ratio
Find third proportional to 888 and 981
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.