Home / 257,424-398,592

Finding the Third Proportional to 257,424 and 398,592

Calculator

Solution

The third proportional to 257,424 and 398,592 is: 617,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,424 : 398,592 = 398,592 : x
  2. Step 2: Convert to fraction form
    257,424/398,592 = 398,592/x
  3. Step 3: Cross multiply
    257,424x = 398,592 × 398,592
  4. Step 4: Simplify right side
    257,424x = 158,875,582,464
  5. Step 5: Solve for x
    x = 158,875,582,464/257,424
  6. Step 6: Final answer
    x = 617,174.71

Related Problems

Find third proportional to 128,712 and 199,296
Half scale
Find third proportional to 514,848 and 797,184
Double scale
Find third proportional to 257,426 and 398,595
Similar ratio
Find third proportional to 386,136 and 597,888
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.