Home / 319,703-469,186

Finding the Third Proportional to 319,703 and 469,186

Calculator

Solution

The third proportional to 319,703 and 469,186 is: 688,562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,703 : 469,186 = 469,186 : x
  2. Step 2: Convert to fraction form
    319,703/469,186 = 469,186/x
  3. Step 3: Cross multiply
    319,703x = 469,186 × 469,186
  4. Step 4: Simplify right side
    319,703x = 220,135,502,596
  5. Step 5: Solve for x
    x = 220,135,502,596/319,703
  6. Step 6: Final answer
    x = 688,562.52

Related Problems

Find third proportional to 159,851.50 and 234,593
Half scale
Find third proportional to 639,406 and 938,372
Double scale
Find third proportional to 319,705 and 469,189
Similar ratio
Find third proportional to 479,554.50 and 703,779
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.