Home / 102,384-223,326

Finding the Third Proportional to 102,384 and 223,326

Calculator

Solution

The third proportional to 102,384 and 223,326 is: 487,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,384 : 223,326 = 223,326 : x
  2. Step 2: Convert to fraction form
    102,384/223,326 = 223,326/x
  3. Step 3: Cross multiply
    102,384x = 223,326 × 223,326
  4. Step 4: Simplify right side
    102,384x = 49,874,502,276
  5. Step 5: Solve for x
    x = 49,874,502,276/102,384
  6. Step 6: Final answer
    x = 487,131.80

Related Problems

Find third proportional to 51,192 and 111,663
Half scale
Find third proportional to 204,768 and 446,652
Double scale
Find third proportional to 102,386 and 223,330
Similar ratio
Find third proportional to 153,576 and 334,989
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.