Home / 390,651-829,282

Finding the Third Proportional to 390,651 and 829,282

Calculator

Solution

The third proportional to 390,651 and 829,282 is: 1,760,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,651 : 829,282 = 829,282 : x
  2. Step 2: Convert to fraction form
    390,651/829,282 = 829,282/x
  3. Step 3: Cross multiply
    390,651x = 829,282 × 829,282
  4. Step 4: Simplify right side
    390,651x = 687,708,635,524
  5. Step 5: Solve for x
    x = 687,708,635,524/390,651
  6. Step 6: Final answer
    x = 1,760,416.93

Related Problems

Find third proportional to 195,325.50 and 414,641
Half scale
Find third proportional to 781,302 and 1,658,564
Double scale
Find third proportional to 390,653 and 829,286
Similar ratio
Find third proportional to 585,976.50 and 1,243,923
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.