Home / 189,469-286,171

Finding the Third Proportional to 189,469 and 286,171

Calculator

Solution

The third proportional to 189,469 and 286,171 is: 432,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,469 : 286,171 = 286,171 : x
  2. Step 2: Convert to fraction form
    189,469/286,171 = 286,171/x
  3. Step 3: Cross multiply
    189,469x = 286,171 × 286,171
  4. Step 4: Simplify right side
    189,469x = 81,893,841,241
  5. Step 5: Solve for x
    x = 81,893,841,241/189,469
  6. Step 6: Final answer
    x = 432,228.18

Related Problems

Find third proportional to 94,734.50 and 143,085.50
Half scale
Find third proportional to 378,938 and 572,342
Double scale
Find third proportional to 189,471 and 286,174
Similar ratio
Find third proportional to 284,203.50 and 429,256.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.