Home / 51,006-84,291

Finding the Third Proportional to 51,006 and 84,291

Calculator

Solution

The third proportional to 51,006 and 84,291 is: 139,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,006 : 84,291 = 84,291 : x
  2. Step 2: Convert to fraction form
    51,006/84,291 = 84,291/x
  3. Step 3: Cross multiply
    51,006x = 84,291 × 84,291
  4. Step 4: Simplify right side
    51,006x = 7,104,972,681
  5. Step 5: Solve for x
    x = 7,104,972,681/51,006
  6. Step 6: Final answer
    x = 139,296.80

Related Problems

Find third proportional to 25,503 and 42,145.50
Half scale
Find third proportional to 102,012 and 168,582
Double scale
Find third proportional to 51,008 and 84,294
Similar ratio
Find third proportional to 76,509 and 126,436.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.