Home / 577,909-766,824

Finding the Third Proportional to 577,909 and 766,824

Calculator

Solution

The third proportional to 577,909 and 766,824 is: 1,017,494.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,909 : 766,824 = 766,824 : x
  2. Step 2: Convert to fraction form
    577,909/766,824 = 766,824/x
  3. Step 3: Cross multiply
    577,909x = 766,824 × 766,824
  4. Step 4: Simplify right side
    577,909x = 588,019,046,976
  5. Step 5: Solve for x
    x = 588,019,046,976/577,909
  6. Step 6: Final answer
    x = 1,017,494.19

Related Problems

Find third proportional to 288,954.50 and 383,412
Half scale
Find third proportional to 1,155,818 and 1,533,648
Double scale
Find third proportional to 577,911 and 766,827
Similar ratio
Find third proportional to 866,863.50 and 1,150,236
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.