Home / 459,936-697,680

Finding the Third Proportional to 459,936 and 697,680

Calculator

Solution

The third proportional to 459,936 and 697,680 is: 1,058,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,936 : 697,680 = 697,680 : x
  2. Step 2: Convert to fraction form
    459,936/697,680 = 697,680/x
  3. Step 3: Cross multiply
    459,936x = 697,680 × 697,680
  4. Step 4: Simplify right side
    459,936x = 486,757,382,400
  5. Step 5: Solve for x
    x = 486,757,382,400/459,936
  6. Step 6: Final answer
    x = 1,058,315.47

Related Problems

Find third proportional to 229,968 and 348,840
Half scale
Find third proportional to 919,872 and 1,395,360
Double scale
Find third proportional to 459,938 and 697,683
Similar ratio
Find third proportional to 689,904 and 1,046,520
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.