Home / 51,840-78,786

Finding the Third Proportional to 51,840 and 78,786

Calculator

Solution

The third proportional to 51,840 and 78,786 is: 119,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840 : 78,786 = 78,786 : x
  2. Step 2: Convert to fraction form
    51,840/78,786 = 78,786/x
  3. Step 3: Cross multiply
    51,840x = 78,786 × 78,786
  4. Step 4: Simplify right side
    51,840x = 6,207,233,796
  5. Step 5: Solve for x
    x = 6,207,233,796/51,840
  6. Step 6: Final answer
    x = 119,738.31

Related Problems

Find third proportional to 25,920 and 39,393
Half scale
Find third proportional to 103,680 and 157,572
Double scale
Find third proportional to 51,842 and 78,789
Similar ratio
Find third proportional to 77,760 and 118,179
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.