Home / 914-1,523

Finding the Third Proportional to 914 and 1,523

Calculator

Solution

The third proportional to 914 and 1,523 is: 2,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    914 : 1,523 = 1,523 : x
  2. Step 2: Convert to fraction form
    914/1,523 = 1,523/x
  3. Step 3: Cross multiply
    914x = 1,523 × 1,523
  4. Step 4: Simplify right side
    914x = 2,319,529
  5. Step 5: Solve for x
    x = 2,319,529/914
  6. Step 6: Final answer
    x = 2,537.78

Related Problems

Find third proportional to 457 and 761.50
Half scale
Find third proportional to 1,828 and 3,046
Double scale
Find third proportional to 916 and 1,526
Similar ratio
Find third proportional to 1,371 and 2,284.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.