Home / 4,614-6,589.50

Finding the Third Proportional to 4,614 and 6,589.50

Calculator

Solution

The third proportional to 4,614 and 6,589.50 is: 9,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614 : 6,589.50 = 6,589.50 : x
  2. Step 2: Convert to fraction form
    4,614/6,589.50 = 6,589.50/x
  3. Step 3: Cross multiply
    4,614x = 6,589.50 × 6,589.50
  4. Step 4: Simplify right side
    4,614x = 43,421,510.25
  5. Step 5: Solve for x
    x = 43,421,510.25/4,614
  6. Step 6: Final answer
    x = 9,410.82

Related Problems

Find third proportional to 2,307 and 3,294.75
Half scale
Find third proportional to 9,228 and 13,179
Double scale
Find third proportional to 4,616 and 6,592
Similar ratio
Find third proportional to 6,921 and 9,884.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.