Home / 270,412-420,368

Finding the Third Proportional to 270,412 and 420,368

Calculator

Solution

The third proportional to 270,412 and 420,368 is: 653,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,412 : 420,368 = 420,368 : x
  2. Step 2: Convert to fraction form
    270,412/420,368 = 420,368/x
  3. Step 3: Cross multiply
    270,412x = 420,368 × 420,368
  4. Step 4: Simplify right side
    270,412x = 176,709,255,424
  5. Step 5: Solve for x
    x = 176,709,255,424/270,412
  6. Step 6: Final answer
    x = 653,481.56

Related Problems

Find third proportional to 135,206 and 210,184
Half scale
Find third proportional to 540,824 and 840,736
Double scale
Find third proportional to 270,414 and 420,371
Similar ratio
Find third proportional to 405,618 and 630,552
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.