Home / 51,985-78,348

Finding the Third Proportional to 51,985 and 78,348

Calculator

Solution

The third proportional to 51,985 and 78,348 is: 118,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,985 : 78,348 = 78,348 : x
  2. Step 2: Convert to fraction form
    51,985/78,348 = 78,348/x
  3. Step 3: Cross multiply
    51,985x = 78,348 × 78,348
  4. Step 4: Simplify right side
    51,985x = 6,138,409,104
  5. Step 5: Solve for x
    x = 6,138,409,104/51,985
  6. Step 6: Final answer
    x = 118,080.39

Related Problems

Find third proportional to 25,992.50 and 39,174
Half scale
Find third proportional to 103,970 and 156,696
Double scale
Find third proportional to 51,987 and 78,351
Similar ratio
Find third proportional to 77,977.50 and 117,522
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.