Home / 296,808-657,642

Finding the Third Proportional to 296,808 and 657,642

Calculator

Solution

The third proportional to 296,808 and 657,642 is: 1,457,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,808 : 657,642 = 657,642 : x
  2. Step 2: Convert to fraction form
    296,808/657,642 = 657,642/x
  3. Step 3: Cross multiply
    296,808x = 657,642 × 657,642
  4. Step 4: Simplify right side
    296,808x = 432,493,000,164
  5. Step 5: Solve for x
    x = 432,493,000,164/296,808
  6. Step 6: Final answer
    x = 1,457,147.38

Related Problems

Find third proportional to 148,404 and 328,821
Half scale
Find third proportional to 593,616 and 1,315,284
Double scale
Find third proportional to 296,810 and 657,646
Similar ratio
Find third proportional to 445,212 and 986,463
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.