Home / 458-786

Finding the Third Proportional to 458 and 786

Calculator

Solution

The third proportional to 458 and 786 is: 1,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458 : 786 = 786 : x
  2. Step 2: Convert to fraction form
    458/786 = 786/x
  3. Step 3: Cross multiply
    458x = 786 × 786
  4. Step 4: Simplify right side
    458x = 617,796
  5. Step 5: Solve for x
    x = 617,796/458
  6. Step 6: Final answer
    x = 1,348.90

Related Problems

Find third proportional to 229 and 393
Half scale
Find third proportional to 916 and 1,572
Double scale
Find third proportional to 460 and 789
Similar ratio
Find third proportional to 687 and 1,179
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.