Home / 1,970-4,523

Finding the Third Proportional to 1,970 and 4,523

Calculator

Solution

The third proportional to 1,970 and 4,523 is: 10,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970 : 4,523 = 4,523 : x
  2. Step 2: Convert to fraction form
    1,970/4,523 = 4,523/x
  3. Step 3: Cross multiply
    1,970x = 4,523 × 4,523
  4. Step 4: Simplify right side
    1,970x = 20,457,529
  5. Step 5: Solve for x
    x = 20,457,529/1,970
  6. Step 6: Final answer
    x = 10,384.53

Related Problems

Find third proportional to 985 and 2,261.50
Half scale
Find third proportional to 3,940 and 9,046
Double scale
Find third proportional to 1,972 and 4,528
Similar ratio
Find third proportional to 2,955 and 6,784.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.