Home / 205,500-306,864

Finding the Third Proportional to 205,500 and 306,864

Calculator

Solution

The third proportional to 205,500 and 306,864 is: 458,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,500 : 306,864 = 306,864 : x
  2. Step 2: Convert to fraction form
    205,500/306,864 = 306,864/x
  3. Step 3: Cross multiply
    205,500x = 306,864 × 306,864
  4. Step 4: Simplify right side
    205,500x = 94,165,514,496
  5. Step 5: Solve for x
    x = 94,165,514,496/205,500
  6. Step 6: Final answer
    x = 458,226.35

Related Problems

Find third proportional to 102,750 and 153,432
Half scale
Find third proportional to 411,000 and 613,728
Double scale
Find third proportional to 205,502 and 306,867
Similar ratio
Find third proportional to 308,250 and 460,296
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.