Home / 546.25-832.25

Finding the Third Proportional to 546.25 and 832.25

Calculator

Solution

The third proportional to 546.25 and 832.25 is: 1,267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.25 : 832.25 = 832.25 : x
  2. Step 2: Convert to fraction form
    546.25/832.25 = 832.25/x
  3. Step 3: Cross multiply
    546.25x = 832.25 × 832.25
  4. Step 4: Simplify right side
    546.25x = 692,640.06
  5. Step 5: Solve for x
    x = 692,640.06/546.25
  6. Step 6: Final answer
    x = 1,267.99

Related Problems

Find third proportional to 273.13 and 416.13
Half scale
Find third proportional to 1,092.50 and 1,664.50
Double scale
Find third proportional to 548 and 835
Similar ratio
Find third proportional to 819.38 and 1,248.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.