Home / 6,488-9,516

Finding the Third Proportional to 6,488 and 9,516

Calculator

Solution

The third proportional to 6,488 and 9,516 is: 13,957.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488 : 9,516 = 9,516 : x
  2. Step 2: Convert to fraction form
    6,488/9,516 = 9,516/x
  3. Step 3: Cross multiply
    6,488x = 9,516 × 9,516
  4. Step 4: Simplify right side
    6,488x = 90,554,256
  5. Step 5: Solve for x
    x = 90,554,256/6,488
  6. Step 6: Final answer
    x = 13,957.19

Related Problems

Find third proportional to 3,244 and 4,758
Half scale
Find third proportional to 12,976 and 19,032
Double scale
Find third proportional to 6,490 and 9,519
Similar ratio
Find third proportional to 9,732 and 14,274
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.