Home / 49,511-103,102

Finding the Third Proportional to 49,511 and 103,102

Calculator

Solution

The third proportional to 49,511 and 103,102 is: 214,700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,511 : 103,102 = 103,102 : x
  2. Step 2: Convert to fraction form
    49,511/103,102 = 103,102/x
  3. Step 3: Cross multiply
    49,511x = 103,102 × 103,102
  4. Step 4: Simplify right side
    49,511x = 10,630,022,404
  5. Step 5: Solve for x
    x = 10,630,022,404/49,511
  6. Step 6: Final answer
    x = 214,700.22

Related Problems

Find third proportional to 24,755.50 and 51,551
Half scale
Find third proportional to 99,022 and 206,204
Double scale
Find third proportional to 49,513 and 103,106
Similar ratio
Find third proportional to 74,266.50 and 154,653
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.