Home / 8,464-9,184

Finding the Third Proportional to 8,464 and 9,184

Calculator

Solution

The third proportional to 8,464 and 9,184 is: 9,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464 : 9,184 = 9,184 : x
  2. Step 2: Convert to fraction form
    8,464/9,184 = 9,184/x
  3. Step 3: Cross multiply
    8,464x = 9,184 × 9,184
  4. Step 4: Simplify right side
    8,464x = 84,345,856
  5. Step 5: Solve for x
    x = 84,345,856/8,464
  6. Step 6: Final answer
    x = 9,965.25

Related Problems

Find third proportional to 4,232 and 4,592
Half scale
Find third proportional to 16,928 and 18,368
Double scale
Find third proportional to 8,466 and 9,186
Similar ratio
Find third proportional to 12,696 and 13,776
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.