Home / 261,488-414,288

Finding the Third Proportional to 261,488 and 414,288

Calculator

Solution

The third proportional to 261,488 and 414,288 is: 656,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,488 : 414,288 = 414,288 : x
  2. Step 2: Convert to fraction form
    261,488/414,288 = 414,288/x
  3. Step 3: Cross multiply
    261,488x = 414,288 × 414,288
  4. Step 4: Simplify right side
    261,488x = 171,634,546,944
  5. Step 5: Solve for x
    x = 171,634,546,944/261,488
  6. Step 6: Final answer
    x = 656,376.38

Related Problems

Find third proportional to 130,744 and 207,144
Half scale
Find third proportional to 522,976 and 828,576
Double scale
Find third proportional to 261,490 and 414,291
Similar ratio
Find third proportional to 392,232 and 621,432
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.