Home / 301,376-413,247

Finding the Third Proportional to 301,376 and 413,247

Calculator

Solution

The third proportional to 301,376 and 413,247 is: 566,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,376 : 413,247 = 413,247 : x
  2. Step 2: Convert to fraction form
    301,376/413,247 = 413,247/x
  3. Step 3: Cross multiply
    301,376x = 413,247 × 413,247
  4. Step 4: Simplify right side
    301,376x = 170,773,083,009
  5. Step 5: Solve for x
    x = 170,773,083,009/301,376
  6. Step 6: Final answer
    x = 566,644.60

Related Problems

Find third proportional to 150,688 and 206,623.50
Half scale
Find third proportional to 602,752 and 826,494
Double scale
Find third proportional to 301,378 and 413,250
Similar ratio
Find third proportional to 452,064 and 619,870.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.