Home / 301,769-659,590

Finding the Third Proportional to 301,769 and 659,590

Calculator

Solution

The third proportional to 301,769 and 659,590 is: 1,441,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,769 : 659,590 = 659,590 : x
  2. Step 2: Convert to fraction form
    301,769/659,590 = 659,590/x
  3. Step 3: Cross multiply
    301,769x = 659,590 × 659,590
  4. Step 4: Simplify right side
    301,769x = 435,058,968,100
  5. Step 5: Solve for x
    x = 435,058,968,100/301,769
  6. Step 6: Final answer
    x = 1,441,695.36

Related Problems

Find third proportional to 150,884.50 and 329,795
Half scale
Find third proportional to 603,538 and 1,319,180
Double scale
Find third proportional to 301,771 and 659,594
Similar ratio
Find third proportional to 452,653.50 and 989,385
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.