Home / 102,159-224,468

Finding the Third Proportional to 102,159 and 224,468

Calculator

Solution

The third proportional to 102,159 and 224,468 is: 493,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,159 : 224,468 = 224,468 : x
  2. Step 2: Convert to fraction form
    102,159/224,468 = 224,468/x
  3. Step 3: Cross multiply
    102,159x = 224,468 × 224,468
  4. Step 4: Simplify right side
    102,159x = 50,385,883,024
  5. Step 5: Solve for x
    x = 50,385,883,024/102,159
  6. Step 6: Final answer
    x = 493,210.42

Related Problems

Find third proportional to 51,079.50 and 112,234
Half scale
Find third proportional to 204,318 and 448,936
Double scale
Find third proportional to 102,161 and 224,472
Similar ratio
Find third proportional to 153,238.50 and 336,702
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.