Home / 53,686-78,681

Finding the Third Proportional to 53,686 and 78,681

Calculator

Solution

The third proportional to 53,686 and 78,681 is: 115,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,686 : 78,681 = 78,681 : x
  2. Step 2: Convert to fraction form
    53,686/78,681 = 78,681/x
  3. Step 3: Cross multiply
    53,686x = 78,681 × 78,681
  4. Step 4: Simplify right side
    53,686x = 6,190,699,761
  5. Step 5: Solve for x
    x = 6,190,699,761/53,686
  6. Step 6: Final answer
    x = 115,313.11

Related Problems

Find third proportional to 26,843 and 39,340.50
Half scale
Find third proportional to 107,372 and 157,362
Double scale
Find third proportional to 53,688 and 78,684
Similar ratio
Find third proportional to 80,529 and 118,021.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.