Home / 4,202-4,647.50

Finding the Third Proportional to 4,202 and 4,647.50

Calculator

Solution

The third proportional to 4,202 and 4,647.50 is: 5,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202 : 4,647.50 = 4,647.50 : x
  2. Step 2: Convert to fraction form
    4,202/4,647.50 = 4,647.50/x
  3. Step 3: Cross multiply
    4,202x = 4,647.50 × 4,647.50
  4. Step 4: Simplify right side
    4,202x = 21,599,256.25
  5. Step 5: Solve for x
    x = 21,599,256.25/4,202
  6. Step 6: Final answer
    x = 5,140.23

Related Problems

Find third proportional to 2,101 and 2,323.75
Half scale
Find third proportional to 8,404 and 9,295
Double scale
Find third proportional to 4,204 and 4,650
Similar ratio
Find third proportional to 6,303 and 6,971.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.