Home / 131,705-284,470

Finding the Third Proportional to 131,705 and 284,470

Calculator

Solution

The third proportional to 131,705 and 284,470 is: 614,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,705 : 284,470 = 284,470 : x
  2. Step 2: Convert to fraction form
    131,705/284,470 = 284,470/x
  3. Step 3: Cross multiply
    131,705x = 284,470 × 284,470
  4. Step 4: Simplify right side
    131,705x = 80,923,180,900
  5. Step 5: Solve for x
    x = 80,923,180,900/131,705
  6. Step 6: Final answer
    x = 614,427.55

Related Problems

Find third proportional to 65,852.50 and 142,235
Half scale
Find third proportional to 263,410 and 568,940
Double scale
Find third proportional to 131,707 and 284,474
Similar ratio
Find third proportional to 197,557.50 and 426,705
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.