Home / 102,384-164,349

Finding the Third Proportional to 102,384 and 164,349

Calculator

Solution

The third proportional to 102,384 and 164,349 is: 263,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,384 : 164,349 = 164,349 : x
  2. Step 2: Convert to fraction form
    102,384/164,349 = 164,349/x
  3. Step 3: Cross multiply
    102,384x = 164,349 × 164,349
  4. Step 4: Simplify right side
    102,384x = 27,010,593,801
  5. Step 5: Solve for x
    x = 27,010,593,801/102,384
  6. Step 6: Final answer
    x = 263,816.55

Related Problems

Find third proportional to 51,192 and 82,174.50
Half scale
Find third proportional to 204,768 and 328,698
Double scale
Find third proportional to 102,386 and 164,352
Similar ratio
Find third proportional to 153,576 and 246,523.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.