Home / 312,098.63-471,429

Finding the Third Proportional to 312,098.63 and 471,429

Calculator

Solution

The third proportional to 312,098.63 and 471,429 is: 712,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,098.63 : 471,429 = 471,429 : x
  2. Step 2: Convert to fraction form
    312,098.63/471,429 = 471,429/x
  3. Step 3: Cross multiply
    312,098.63x = 471,429 × 471,429
  4. Step 4: Simplify right side
    312,098.63x = 222,245,302,041
  5. Step 5: Solve for x
    x = 222,245,302,041/312,098.63
  6. Step 6: Final answer
    x = 712,099.59

Related Problems

Find third proportional to 156,049.31 and 235,714.50
Half scale
Find third proportional to 624,197.25 and 942,858
Double scale
Find third proportional to 312,101 and 471,432
Similar ratio
Find third proportional to 468,147.94 and 707,143.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.