Home / 415,764-669,582

Finding the Third Proportional to 415,764 and 669,582

Calculator

Solution

The third proportional to 415,764 and 669,582 is: 1,078,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,764 : 669,582 = 669,582 : x
  2. Step 2: Convert to fraction form
    415,764/669,582 = 669,582/x
  3. Step 3: Cross multiply
    415,764x = 669,582 × 669,582
  4. Step 4: Simplify right side
    415,764x = 448,340,054,724
  5. Step 5: Solve for x
    x = 448,340,054,724/415,764
  6. Step 6: Final answer
    x = 1,078,352.27

Related Problems

Find third proportional to 207,882 and 334,791
Half scale
Find third proportional to 831,528 and 1,339,164
Double scale
Find third proportional to 415,766 and 669,585
Similar ratio
Find third proportional to 623,646 and 1,004,373
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.