Home / 309,980-657,164

Finding the Third Proportional to 309,980 and 657,164

Calculator

Solution

The third proportional to 309,980 and 657,164 is: 1,393,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,980 : 657,164 = 657,164 : x
  2. Step 2: Convert to fraction form
    309,980/657,164 = 657,164/x
  3. Step 3: Cross multiply
    309,980x = 657,164 × 657,164
  4. Step 4: Simplify right side
    309,980x = 431,864,522,896
  5. Step 5: Solve for x
    x = 431,864,522,896/309,980
  6. Step 6: Final answer
    x = 1,393,201.25

Related Problems

Find third proportional to 154,990 and 328,582
Half scale
Find third proportional to 619,960 and 1,314,328
Double scale
Find third proportional to 309,982 and 657,168
Similar ratio
Find third proportional to 464,970 and 985,746
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.