Home / 307,766-460,418

Finding the Third Proportional to 307,766 and 460,418

Calculator

Solution

The third proportional to 307,766 and 460,418 is: 688,785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,766 : 460,418 = 460,418 : x
  2. Step 2: Convert to fraction form
    307,766/460,418 = 460,418/x
  3. Step 3: Cross multiply
    307,766x = 460,418 × 460,418
  4. Step 4: Simplify right side
    307,766x = 211,984,734,724
  5. Step 5: Solve for x
    x = 211,984,734,724/307,766
  6. Step 6: Final answer
    x = 688,785.42

Related Problems

Find third proportional to 153,883 and 230,209
Half scale
Find third proportional to 615,532 and 920,836
Double scale
Find third proportional to 307,768 and 460,421
Similar ratio
Find third proportional to 461,649 and 690,627
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.