Home / 384,204-617,312

Finding the Third Proportional to 384,204 and 617,312

Calculator

Solution

The third proportional to 384,204 and 617,312 is: 991,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,204 : 617,312 = 617,312 : x
  2. Step 2: Convert to fraction form
    384,204/617,312 = 617,312/x
  3. Step 3: Cross multiply
    384,204x = 617,312 × 617,312
  4. Step 4: Simplify right side
    384,204x = 381,074,105,344
  5. Step 5: Solve for x
    x = 381,074,105,344/384,204
  6. Step 6: Final answer
    x = 991,853.56

Related Problems

Find third proportional to 192,102 and 308,656
Half scale
Find third proportional to 768,408 and 1,234,624
Double scale
Find third proportional to 384,206 and 617,315
Similar ratio
Find third proportional to 576,306 and 925,968
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.