Home / 153,096-324,724

Finding the Third Proportional to 153,096 and 324,724

Calculator

Solution

The third proportional to 153,096 and 324,724 is: 688,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,096 : 324,724 = 324,724 : x
  2. Step 2: Convert to fraction form
    153,096/324,724 = 324,724/x
  3. Step 3: Cross multiply
    153,096x = 324,724 × 324,724
  4. Step 4: Simplify right side
    153,096x = 105,445,676,176
  5. Step 5: Solve for x
    x = 105,445,676,176/153,096
  6. Step 6: Final answer
    x = 688,755.27

Related Problems

Find third proportional to 76,548 and 162,362
Half scale
Find third proportional to 306,192 and 649,448
Double scale
Find third proportional to 153,098 and 324,728
Similar ratio
Find third proportional to 229,644 and 487,086
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.