Home / 464,513-678,845

Finding the Third Proportional to 464,513 and 678,845

Calculator

Solution

The third proportional to 464,513 and 678,845 is: 992,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,513 : 678,845 = 678,845 : x
  2. Step 2: Convert to fraction form
    464,513/678,845 = 678,845/x
  3. Step 3: Cross multiply
    464,513x = 678,845 × 678,845
  4. Step 4: Simplify right side
    464,513x = 460,830,534,025
  5. Step 5: Solve for x
    x = 460,830,534,025/464,513
  6. Step 6: Final answer
    x = 992,072.42

Related Problems

Find third proportional to 232,256.50 and 339,422.50
Half scale
Find third proportional to 929,026 and 1,357,690
Double scale
Find third proportional to 464,515 and 678,848
Similar ratio
Find third proportional to 696,769.50 and 1,018,267.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.