Home / 205,314-307,134

Finding the Third Proportional to 205,314 and 307,134

Calculator

Solution

The third proportional to 205,314 and 307,134 is: 459,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314 : 307,134 = 307,134 : x
  2. Step 2: Convert to fraction form
    205,314/307,134 = 307,134/x
  3. Step 3: Cross multiply
    205,314x = 307,134 × 307,134
  4. Step 4: Simplify right side
    205,314x = 94,331,293,956
  5. Step 5: Solve for x
    x = 94,331,293,956/205,314
  6. Step 6: Final answer
    x = 459,448.91

Related Problems

Find third proportional to 102,657 and 153,567
Half scale
Find third proportional to 410,628 and 614,268
Double scale
Find third proportional to 205,316 and 307,137
Similar ratio
Find third proportional to 307,971 and 460,701
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.