Home / 211,684-291,606

Finding the Third Proportional to 211,684 and 291,606

Calculator

Solution

The third proportional to 211,684 and 291,606 is: 401,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,684 : 291,606 = 291,606 : x
  2. Step 2: Convert to fraction form
    211,684/291,606 = 291,606/x
  3. Step 3: Cross multiply
    211,684x = 291,606 × 291,606
  4. Step 4: Simplify right side
    211,684x = 85,034,059,236
  5. Step 5: Solve for x
    x = 85,034,059,236/211,684
  6. Step 6: Final answer
    x = 401,702.82

Related Problems

Find third proportional to 105,842 and 145,803
Half scale
Find third proportional to 423,368 and 583,212
Double scale
Find third proportional to 211,686 and 291,609
Similar ratio
Find third proportional to 317,526 and 437,409
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.