Home / 645-1,413

Finding the Third Proportional to 645 and 1,413

Calculator

Solution

The third proportional to 645 and 1,413 is: 3,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645 : 1,413 = 1,413 : x
  2. Step 2: Convert to fraction form
    645/1,413 = 1,413/x
  3. Step 3: Cross multiply
    645x = 1,413 × 1,413
  4. Step 4: Simplify right side
    645x = 1,996,569
  5. Step 5: Solve for x
    x = 1,996,569/645
  6. Step 6: Final answer
    x = 3,095.46

Related Problems

Find third proportional to 322.50 and 706.50
Half scale
Find third proportional to 1,290 and 2,826
Double scale
Find third proportional to 647 and 1,417
Similar ratio
Find third proportional to 967.50 and 2,119.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.