Home / 6,509-7,859

Finding the Third Proportional to 6,509 and 7,859

Calculator

Solution

The third proportional to 6,509 and 7,859 is: 9,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509 : 7,859 = 7,859 : x
  2. Step 2: Convert to fraction form
    6,509/7,859 = 7,859/x
  3. Step 3: Cross multiply
    6,509x = 7,859 × 7,859
  4. Step 4: Simplify right side
    6,509x = 61,763,881
  5. Step 5: Solve for x
    x = 61,763,881/6,509
  6. Step 6: Final answer
    x = 9,489.00

Related Problems

Find third proportional to 3,254.50 and 3,929.50
Half scale
Find third proportional to 13,018 and 15,718
Double scale
Find third proportional to 6,511 and 7,861
Similar ratio
Find third proportional to 9,763.50 and 11,788.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.