Home / 102,294-157,007

Finding the Third Proportional to 102,294 and 157,007

Calculator

Solution

The third proportional to 102,294 and 157,007 is: 240,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,294 : 157,007 = 157,007 : x
  2. Step 2: Convert to fraction form
    102,294/157,007 = 157,007/x
  3. Step 3: Cross multiply
    102,294x = 157,007 × 157,007
  4. Step 4: Simplify right side
    102,294x = 24,651,198,049
  5. Step 5: Solve for x
    x = 24,651,198,049/102,294
  6. Step 6: Final answer
    x = 240,983.81

Related Problems

Find third proportional to 51,147 and 78,503.50
Half scale
Find third proportional to 204,588 and 314,014
Double scale
Find third proportional to 102,296 and 157,010
Similar ratio
Find third proportional to 153,441 and 235,510.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.