Home / 525,734-823,638

Finding the Third Proportional to 525,734 and 823,638

Calculator

Solution

The third proportional to 525,734 and 823,638 is: 1,290,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,734 : 823,638 = 823,638 : x
  2. Step 2: Convert to fraction form
    525,734/823,638 = 823,638/x
  3. Step 3: Cross multiply
    525,734x = 823,638 × 823,638
  4. Step 4: Simplify right side
    525,734x = 678,379,555,044
  5. Step 5: Solve for x
    x = 678,379,555,044/525,734
  6. Step 6: Final answer
    x = 1,290,347.50

Related Problems

Find third proportional to 262,867 and 411,819
Half scale
Find third proportional to 1,051,468 and 1,647,276
Double scale
Find third proportional to 525,736 and 823,641
Similar ratio
Find third proportional to 788,601 and 1,235,457
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.