Home / 249-546

Finding the Third Proportional to 249 and 546

Calculator

Solution

The third proportional to 249 and 546 is: 1,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249 : 546 = 546 : x
  2. Step 2: Convert to fraction form
    249/546 = 546/x
  3. Step 3: Cross multiply
    249x = 546 × 546
  4. Step 4: Simplify right side
    249x = 298,116
  5. Step 5: Solve for x
    x = 298,116/249
  6. Step 6: Final answer
    x = 1,197.25

Related Problems

Find third proportional to 124.50 and 273
Half scale
Find third proportional to 498 and 1,092
Double scale
Find third proportional to 251 and 550
Similar ratio
Find third proportional to 373.50 and 819
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.