Home / 769.50-1,209

Finding the Third Proportional to 769.50 and 1,209

Calculator

Solution

The third proportional to 769.50 and 1,209 is: 1,899.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.50 : 1,209 = 1,209 : x
  2. Step 2: Convert to fraction form
    769.50/1,209 = 1,209/x
  3. Step 3: Cross multiply
    769.50x = 1,209 × 1,209
  4. Step 4: Simplify right side
    769.50x = 1,461,681
  5. Step 5: Solve for x
    x = 1,461,681/769.50
  6. Step 6: Final answer
    x = 1,899.52

Related Problems

Find third proportional to 384.75 and 604.50
Half scale
Find third proportional to 1,539 and 2,418
Double scale
Find third proportional to 772 and 1,212
Similar ratio
Find third proportional to 1,154.25 and 1,813.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.