Home / 641-707

Finding the Third Proportional to 641 and 707

Calculator

Solution

The third proportional to 641 and 707 is: 779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    641 : 707 = 707 : x
  2. Step 2: Convert to fraction form
    641/707 = 707/x
  3. Step 3: Cross multiply
    641x = 707 × 707
  4. Step 4: Simplify right side
    641x = 499,849
  5. Step 5: Solve for x
    x = 499,849/641
  6. Step 6: Final answer
    x = 779.80

Related Problems

Find third proportional to 320.50 and 353.50
Half scale
Find third proportional to 1,282 and 1,414
Double scale
Find third proportional to 643 and 709
Similar ratio
Find third proportional to 961.50 and 1,060.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.