Home / 53,780-83,615

Finding the Third Proportional to 53,780 and 83,615

Calculator

Solution

The third proportional to 53,780 and 83,615 is: 130,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,780 : 83,615 = 83,615 : x
  2. Step 2: Convert to fraction form
    53,780/83,615 = 83,615/x
  3. Step 3: Cross multiply
    53,780x = 83,615 × 83,615
  4. Step 4: Simplify right side
    53,780x = 6,991,468,225
  5. Step 5: Solve for x
    x = 6,991,468,225/53,780
  6. Step 6: Final answer
    x = 130,001.27

Related Problems

Find third proportional to 26,890 and 41,807.50
Half scale
Find third proportional to 107,560 and 167,230
Double scale
Find third proportional to 53,782 and 83,618
Similar ratio
Find third proportional to 80,670 and 125,422.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.