Home / 521,703-829,247

Finding the Third Proportional to 521,703 and 829,247

Calculator

Solution

The third proportional to 521,703 and 829,247 is: 1,318,088.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,703 : 829,247 = 829,247 : x
  2. Step 2: Convert to fraction form
    521,703/829,247 = 829,247/x
  3. Step 3: Cross multiply
    521,703x = 829,247 × 829,247
  4. Step 4: Simplify right side
    521,703x = 687,650,587,009
  5. Step 5: Solve for x
    x = 687,650,587,009/521,703
  6. Step 6: Final answer
    x = 1,318,088.24

Related Problems

Find third proportional to 260,851.50 and 414,623.50
Half scale
Find third proportional to 1,043,406 and 1,658,494
Double scale
Find third proportional to 521,705 and 829,250
Similar ratio
Find third proportional to 782,554.50 and 1,243,870.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.