Home / 297,802-460,527

Finding the Third Proportional to 297,802 and 460,527

Calculator

Solution

The third proportional to 297,802 and 460,527 is: 712,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,802 : 460,527 = 460,527 : x
  2. Step 2: Convert to fraction form
    297,802/460,527 = 460,527/x
  3. Step 3: Cross multiply
    297,802x = 460,527 × 460,527
  4. Step 4: Simplify right side
    297,802x = 212,085,117,729
  5. Step 5: Solve for x
    x = 212,085,117,729/297,802
  6. Step 6: Final answer
    x = 712,168.21

Related Problems

Find third proportional to 148,901 and 230,263.50
Half scale
Find third proportional to 595,604 and 921,054
Double scale
Find third proportional to 297,804 and 460,530
Similar ratio
Find third proportional to 446,703 and 690,790.50
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.