Home / 65,811-99,309

Finding the Third Proportional to 65,811 and 99,309

Calculator

Solution

The third proportional to 65,811 and 99,309 is: 149,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,811 : 99,309 = 99,309 : x
  2. Step 2: Convert to fraction form
    65,811/99,309 = 99,309/x
  3. Step 3: Cross multiply
    65,811x = 99,309 × 99,309
  4. Step 4: Simplify right side
    65,811x = 9,862,277,481
  5. Step 5: Solve for x
    x = 9,862,277,481/65,811
  6. Step 6: Final answer
    x = 149,857.58

Related Problems

Find third proportional to 32,905.50 and 49,654.50
Half scale
Find third proportional to 131,622 and 198,618
Double scale
Find third proportional to 65,813 and 99,312
Similar ratio
Find third proportional to 98,716.50 and 148,963.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.