Home / 268,029-414,639

Finding the Third Proportional to 268,029 and 414,639

Calculator

Solution

The third proportional to 268,029 and 414,639 is: 641,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,029 : 414,639 = 414,639 : x
  2. Step 2: Convert to fraction form
    268,029/414,639 = 414,639/x
  3. Step 3: Cross multiply
    268,029x = 414,639 × 414,639
  4. Step 4: Simplify right side
    268,029x = 171,925,500,321
  5. Step 5: Solve for x
    x = 171,925,500,321/268,029
  6. Step 6: Final answer
    x = 641,443.65

Related Problems

Find third proportional to 134,014.50 and 207,319.50
Half scale
Find third proportional to 536,058 and 829,278
Double scale
Find third proportional to 268,031 and 414,642
Similar ratio
Find third proportional to 402,043.50 and 621,958.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.