Home / 7,523-16,302

Finding the Third Proportional to 7,523 and 16,302

Calculator

Solution

The third proportional to 7,523 and 16,302 is: 35,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523 : 16,302 = 16,302 : x
  2. Step 2: Convert to fraction form
    7,523/16,302 = 16,302/x
  3. Step 3: Cross multiply
    7,523x = 16,302 × 16,302
  4. Step 4: Simplify right side
    7,523x = 265,755,204
  5. Step 5: Solve for x
    x = 265,755,204/7,523
  6. Step 6: Final answer
    x = 35,325.70

Related Problems

Find third proportional to 3,761.50 and 8,151
Half scale
Find third proportional to 15,046 and 32,604
Double scale
Find third proportional to 7,525 and 16,306
Similar ratio
Find third proportional to 11,284.50 and 24,453
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.