Home / 782.25-1,665.75

Finding the Third Proportional to 782.25 and 1,665.75

Calculator

Solution

The third proportional to 782.25 and 1,665.75 is: 3,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.25 : 1,665.75 = 1,665.75 : x
  2. Step 2: Convert to fraction form
    782.25/1,665.75 = 1,665.75/x
  3. Step 3: Cross multiply
    782.25x = 1,665.75 × 1,665.75
  4. Step 4: Simplify right side
    782.25x = 2,774,723.06
  5. Step 5: Solve for x
    x = 2,774,723.06/782.25
  6. Step 6: Final answer
    x = 3,547.11

Related Problems

Find third proportional to 391.13 and 832.88
Half scale
Find third proportional to 1,564.50 and 3,331.50
Double scale
Find third proportional to 784 and 1,670
Similar ratio
Find third proportional to 1,173.38 and 2,498.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.