Home / 349,058-512,498

Finding the Third Proportional to 349,058 and 512,498

Calculator

Solution

The third proportional to 349,058 and 512,498 is: 752,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,058 : 512,498 = 512,498 : x
  2. Step 2: Convert to fraction form
    349,058/512,498 = 512,498/x
  3. Step 3: Cross multiply
    349,058x = 512,498 × 512,498
  4. Step 4: Simplify right side
    349,058x = 262,654,200,004
  5. Step 5: Solve for x
    x = 262,654,200,004/349,058
  6. Step 6: Final answer
    x = 752,465.78

Related Problems

Find third proportional to 174,529 and 256,249
Half scale
Find third proportional to 698,116 and 1,024,996
Double scale
Find third proportional to 349,060 and 512,501
Similar ratio
Find third proportional to 523,587 and 768,747
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.