Home / 259.16-560.09

Finding the Third Proportional to 259.16 and 560.09

Calculator

Solution

The third proportional to 259.16 and 560.09 is: 1,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.16 : 560.09 = 560.09 : x
  2. Step 2: Convert to fraction form
    259.16/560.09 = 560.09/x
  3. Step 3: Cross multiply
    259.16x = 560.09 × 560.09
  4. Step 4: Simplify right side
    259.16x = 313,705.01
  5. Step 5: Solve for x
    x = 313,705.01/259.16
  6. Step 6: Final answer
    x = 1,210.49

Related Problems

Find third proportional to 129.58 and 280.05
Half scale
Find third proportional to 518.31 and 1,120.19
Double scale
Find third proportional to 261 and 564
Similar ratio
Find third proportional to 388.73 and 840.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.