Home / 709.50-786

Finding the Third Proportional to 709.50 and 786

Calculator

Solution

The third proportional to 709.50 and 786 is: 870.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.50 : 786 = 786 : x
  2. Step 2: Convert to fraction form
    709.50/786 = 786/x
  3. Step 3: Cross multiply
    709.50x = 786 × 786
  4. Step 4: Simplify right side
    709.50x = 617,796
  5. Step 5: Solve for x
    x = 617,796/709.50
  6. Step 6: Final answer
    x = 870.75

Related Problems

Find third proportional to 354.75 and 393
Half scale
Find third proportional to 1,419 and 1,572
Double scale
Find third proportional to 712 and 788
Similar ratio
Find third proportional to 1,064.25 and 1,179
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.