Home / 78,506-117,513

Finding the Third Proportional to 78,506 and 117,513

Calculator

Solution

The third proportional to 78,506 and 117,513 is: 175,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,506 : 117,513 = 117,513 : x
  2. Step 2: Convert to fraction form
    78,506/117,513 = 117,513/x
  3. Step 3: Cross multiply
    78,506x = 117,513 × 117,513
  4. Step 4: Simplify right side
    78,506x = 13,809,305,169
  5. Step 5: Solve for x
    x = 13,809,305,169/78,506
  6. Step 6: Final answer
    x = 175,901.27

Related Problems

Find third proportional to 39,253 and 58,756.50
Half scale
Find third proportional to 157,012 and 235,026
Double scale
Find third proportional to 78,508 and 117,516
Similar ratio
Find third proportional to 117,759 and 176,269.50
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.