Home / 306,790-657,296

Finding the Third Proportional to 306,790 and 657,296

Calculator

Solution

The third proportional to 306,790 and 657,296 is: 1,408,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,790 : 657,296 = 657,296 : x
  2. Step 2: Convert to fraction form
    306,790/657,296 = 657,296/x
  3. Step 3: Cross multiply
    306,790x = 657,296 × 657,296
  4. Step 4: Simplify right side
    306,790x = 432,038,031,616
  5. Step 5: Solve for x
    x = 432,038,031,616/306,790
  6. Step 6: Final answer
    x = 1,408,253.31

Related Problems

Find third proportional to 153,395 and 328,648
Half scale
Find third proportional to 613,580 and 1,314,592
Double scale
Find third proportional to 306,792 and 657,300
Similar ratio
Find third proportional to 460,185 and 985,944
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.