Home / 66,519-97,831

Finding the Third Proportional to 66,519 and 97,831

Calculator

Solution

The third proportional to 66,519 and 97,831 is: 143,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,519 : 97,831 = 97,831 : x
  2. Step 2: Convert to fraction form
    66,519/97,831 = 97,831/x
  3. Step 3: Cross multiply
    66,519x = 97,831 × 97,831
  4. Step 4: Simplify right side
    66,519x = 9,570,904,561
  5. Step 5: Solve for x
    x = 9,570,904,561/66,519
  6. Step 6: Final answer
    x = 143,882.27

Related Problems

Find third proportional to 33,259.50 and 48,915.50
Half scale
Find third proportional to 133,038 and 195,662
Double scale
Find third proportional to 66,521 and 97,834
Similar ratio
Find third proportional to 99,778.50 and 146,746.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.