Home / 286,096-420,385

Finding the Third Proportional to 286,096 and 420,385

Calculator

Solution

The third proportional to 286,096 and 420,385 is: 617,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,096 : 420,385 = 420,385 : x
  2. Step 2: Convert to fraction form
    286,096/420,385 = 420,385/x
  3. Step 3: Cross multiply
    286,096x = 420,385 × 420,385
  4. Step 4: Simplify right side
    286,096x = 176,723,548,225
  5. Step 5: Solve for x
    x = 176,723,548,225/286,096
  6. Step 6: Final answer
    x = 617,707.16

Related Problems

Find third proportional to 143,048 and 210,192.50
Half scale
Find third proportional to 572,192 and 840,770
Double scale
Find third proportional to 286,098 and 420,388
Similar ratio
Find third proportional to 429,144 and 630,577.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.