Home / 64,830-97,311

Finding the Third Proportional to 64,830 and 97,311

Calculator

Solution

The third proportional to 64,830 and 97,311 is: 146,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,830 : 97,311 = 97,311 : x
  2. Step 2: Convert to fraction form
    64,830/97,311 = 97,311/x
  3. Step 3: Cross multiply
    64,830x = 97,311 × 97,311
  4. Step 4: Simplify right side
    64,830x = 9,469,430,721
  5. Step 5: Solve for x
    x = 9,469,430,721/64,830
  6. Step 6: Final answer
    x = 146,065.57

Related Problems

Find third proportional to 32,415 and 48,655.50
Half scale
Find third proportional to 129,660 and 194,622
Double scale
Find third proportional to 64,832 and 97,314
Similar ratio
Find third proportional to 97,245 and 145,966.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.