Home / 51,838-77,742

Finding the Third Proportional to 51,838 and 77,742

Calculator

Solution

The third proportional to 51,838 and 77,742 is: 116,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,838 : 77,742 = 77,742 : x
  2. Step 2: Convert to fraction form
    51,838/77,742 = 77,742/x
  3. Step 3: Cross multiply
    51,838x = 77,742 × 77,742
  4. Step 4: Simplify right side
    51,838x = 6,043,818,564
  5. Step 5: Solve for x
    x = 6,043,818,564/51,838
  6. Step 6: Final answer
    x = 116,590.50

Related Problems

Find third proportional to 25,919 and 38,871
Half scale
Find third proportional to 103,676 and 155,484
Double scale
Find third proportional to 51,840 and 77,745
Similar ratio
Find third proportional to 77,757 and 116,613
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.