Home / 194,721-284,421

Finding the Third Proportional to 194,721 and 284,421

Calculator

Solution

The third proportional to 194,721 and 284,421 is: 415,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,721 : 284,421 = 284,421 : x
  2. Step 2: Convert to fraction form
    194,721/284,421 = 284,421/x
  3. Step 3: Cross multiply
    194,721x = 284,421 × 284,421
  4. Step 4: Simplify right side
    194,721x = 80,895,305,241
  5. Step 5: Solve for x
    x = 80,895,305,241/194,721
  6. Step 6: Final answer
    x = 415,442.12

Related Problems

Find third proportional to 97,360.50 and 142,210.50
Half scale
Find third proportional to 389,442 and 568,842
Double scale
Find third proportional to 194,723 and 284,424
Similar ratio
Find third proportional to 292,081.50 and 426,631.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.