Home / 7,506-8,689

Finding the Third Proportional to 7,506 and 8,689

Calculator

Solution

The third proportional to 7,506 and 8,689 is: 10,058.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506 : 8,689 = 8,689 : x
  2. Step 2: Convert to fraction form
    7,506/8,689 = 8,689/x
  3. Step 3: Cross multiply
    7,506x = 8,689 × 8,689
  4. Step 4: Simplify right side
    7,506x = 75,498,721
  5. Step 5: Solve for x
    x = 75,498,721/7,506
  6. Step 6: Final answer
    x = 10,058.45

Related Problems

Find third proportional to 3,753 and 4,344.50
Half scale
Find third proportional to 15,012 and 17,378
Double scale
Find third proportional to 7,508 and 8,691
Similar ratio
Find third proportional to 11,259 and 13,033.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.