Home / 595.69-840.09

Finding the Third Proportional to 595.69 and 840.09

Calculator

Solution

The third proportional to 595.69 and 840.09 is: 1,184.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.69 : 840.09 = 840.09 : x
  2. Step 2: Convert to fraction form
    595.69/840.09 = 840.09/x
  3. Step 3: Cross multiply
    595.69x = 840.09 × 840.09
  4. Step 4: Simplify right side
    595.69x = 705,757.51
  5. Step 5: Solve for x
    x = 705,757.51/595.69
  6. Step 6: Final answer
    x = 1,184.78

Related Problems

Find third proportional to 297.84 and 420.05
Half scale
Find third proportional to 1,191.38 and 1,680.19
Double scale
Find third proportional to 598 and 843
Similar ratio
Find third proportional to 893.53 and 1,260.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.