Home / 51,806-114,502

Finding the Third Proportional to 51,806 and 114,502

Calculator

Solution

The third proportional to 51,806 and 114,502 is: 253,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806 : 114,502 = 114,502 : x
  2. Step 2: Convert to fraction form
    51,806/114,502 = 114,502/x
  3. Step 3: Cross multiply
    51,806x = 114,502 × 114,502
  4. Step 4: Simplify right side
    51,806x = 13,110,708,004
  5. Step 5: Solve for x
    x = 13,110,708,004/51,806
  6. Step 6: Final answer
    x = 253,073.16

Related Problems

Find third proportional to 25,903 and 57,251
Half scale
Find third proportional to 103,612 and 229,004
Double scale
Find third proportional to 51,808 and 114,506
Similar ratio
Find third proportional to 77,709 and 171,753
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.