Home / 272,826-420,903

Finding the Third Proportional to 272,826 and 420,903

Calculator

Solution

The third proportional to 272,826 and 420,903 is: 649,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,826 : 420,903 = 420,903 : x
  2. Step 2: Convert to fraction form
    272,826/420,903 = 420,903/x
  3. Step 3: Cross multiply
    272,826x = 420,903 × 420,903
  4. Step 4: Simplify right side
    272,826x = 177,159,335,409
  5. Step 5: Solve for x
    x = 177,159,335,409/272,826
  6. Step 6: Final answer
    x = 649,349.17

Related Problems

Find third proportional to 136,413 and 210,451.50
Half scale
Find third proportional to 545,652 and 841,806
Double scale
Find third proportional to 272,828 and 420,906
Similar ratio
Find third proportional to 409,239 and 631,354.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.