Home / 206,208-307,368

Finding the Third Proportional to 206,208 and 307,368

Calculator

Solution

The third proportional to 206,208 and 307,368 is: 458,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,208 : 307,368 = 307,368 : x
  2. Step 2: Convert to fraction form
    206,208/307,368 = 307,368/x
  3. Step 3: Cross multiply
    206,208x = 307,368 × 307,368
  4. Step 4: Simplify right side
    206,208x = 94,475,087,424
  5. Step 5: Solve for x
    x = 94,475,087,424/206,208
  6. Step 6: Final answer
    x = 458,154.33

Related Problems

Find third proportional to 103,104 and 153,684
Half scale
Find third proportional to 412,416 and 614,736
Double scale
Find third proportional to 206,210 and 307,371
Similar ratio
Find third proportional to 309,312 and 461,052
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.