Home / 298,386-465,723

Finding the Third Proportional to 298,386 and 465,723

Calculator

Solution

The third proportional to 298,386 and 465,723 is: 726,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,386 : 465,723 = 465,723 : x
  2. Step 2: Convert to fraction form
    298,386/465,723 = 465,723/x
  3. Step 3: Cross multiply
    298,386x = 465,723 × 465,723
  4. Step 4: Simplify right side
    298,386x = 216,897,912,729
  5. Step 5: Solve for x
    x = 216,897,912,729/298,386
  6. Step 6: Final answer
    x = 726,903.78

Related Problems

Find third proportional to 149,193 and 232,861.50
Half scale
Find third proportional to 596,772 and 931,446
Double scale
Find third proportional to 298,388 and 465,726
Similar ratio
Find third proportional to 447,579 and 698,584.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.