Home / 384,116-509,709

Finding the Third Proportional to 384,116 and 509,709

Calculator

Solution

The third proportional to 384,116 and 509,709 is: 676,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,116 : 509,709 = 509,709 : x
  2. Step 2: Convert to fraction form
    384,116/509,709 = 509,709/x
  3. Step 3: Cross multiply
    384,116x = 509,709 × 509,709
  4. Step 4: Simplify right side
    384,116x = 259,803,264,681
  5. Step 5: Solve for x
    x = 259,803,264,681/384,116
  6. Step 6: Final answer
    x = 676,366.68

Related Problems

Find third proportional to 192,058 and 254,854.50
Half scale
Find third proportional to 768,232 and 1,019,418
Double scale
Find third proportional to 384,118 and 509,712
Similar ratio
Find third proportional to 576,174 and 764,563.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.