Home / 586.31-705.75

Finding the Third Proportional to 586.31 and 705.75

Calculator

Solution

The third proportional to 586.31 and 705.75 is: 849.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.31 : 705.75 = 705.75 : x
  2. Step 2: Convert to fraction form
    586.31/705.75 = 705.75/x
  3. Step 3: Cross multiply
    586.31x = 705.75 × 705.75
  4. Step 4: Simplify right side
    586.31x = 498,083.06
  5. Step 5: Solve for x
    x = 498,083.06/586.31
  6. Step 6: Final answer
    x = 849.52

Related Problems

Find third proportional to 293.16 and 352.88
Half scale
Find third proportional to 1,172.63 and 1,411.50
Double scale
Find third proportional to 588 and 708
Similar ratio
Find third proportional to 879.47 and 1,058.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.