Home / 262,697-416,038

Finding the Third Proportional to 262,697 and 416,038

Calculator

Solution

The third proportional to 262,697 and 416,038 is: 658,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,697 : 416,038 = 416,038 : x
  2. Step 2: Convert to fraction form
    262,697/416,038 = 416,038/x
  3. Step 3: Cross multiply
    262,697x = 416,038 × 416,038
  4. Step 4: Simplify right side
    262,697x = 173,087,617,444
  5. Step 5: Solve for x
    x = 173,087,617,444/262,697
  6. Step 6: Final answer
    x = 658,886.92

Related Problems

Find third proportional to 131,348.50 and 208,019
Half scale
Find third proportional to 525,394 and 832,076
Double scale
Find third proportional to 262,699 and 416,041
Similar ratio
Find third proportional to 394,045.50 and 624,057
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.