Home / 402,858-564,732

Finding the Third Proportional to 402,858 and 564,732

Calculator

Solution

The third proportional to 402,858 and 564,732 is: 791,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,858 : 564,732 = 564,732 : x
  2. Step 2: Convert to fraction form
    402,858/564,732 = 564,732/x
  3. Step 3: Cross multiply
    402,858x = 564,732 × 564,732
  4. Step 4: Simplify right side
    402,858x = 318,922,231,824
  5. Step 5: Solve for x
    x = 318,922,231,824/402,858
  6. Step 6: Final answer
    x = 791,649.25

Related Problems

Find third proportional to 201,429 and 282,366
Half scale
Find third proportional to 805,716 and 1,129,464
Double scale
Find third proportional to 402,860 and 564,735
Similar ratio
Find third proportional to 604,287 and 847,098
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.