Home / 303,854-471,709

Finding the Third Proportional to 303,854 and 471,709

Calculator

Solution

The third proportional to 303,854 and 471,709 is: 732,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,854 : 471,709 = 471,709 : x
  2. Step 2: Convert to fraction form
    303,854/471,709 = 471,709/x
  3. Step 3: Cross multiply
    303,854x = 471,709 × 471,709
  4. Step 4: Simplify right side
    303,854x = 222,509,380,681
  5. Step 5: Solve for x
    x = 222,509,380,681/303,854
  6. Step 6: Final answer
    x = 732,290.44

Related Problems

Find third proportional to 151,927 and 235,854.50
Half scale
Find third proportional to 607,708 and 943,418
Double scale
Find third proportional to 303,856 and 471,712
Similar ratio
Find third proportional to 455,781 and 707,563.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.