Home / 199,064-420,584

Finding the Third Proportional to 199,064 and 420,584

Calculator

Solution

The third proportional to 199,064 and 420,584 is: 888,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,064 : 420,584 = 420,584 : x
  2. Step 2: Convert to fraction form
    199,064/420,584 = 420,584/x
  3. Step 3: Cross multiply
    199,064x = 420,584 × 420,584
  4. Step 4: Simplify right side
    199,064x = 176,890,901,056
  5. Step 5: Solve for x
    x = 176,890,901,056/199,064
  6. Step 6: Final answer
    x = 888,613.22

Related Problems

Find third proportional to 99,532 and 210,292
Half scale
Find third proportional to 398,128 and 841,168
Double scale
Find third proportional to 199,066 and 420,588
Similar ratio
Find third proportional to 298,596 and 630,876
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.