Home / 380,603-829,012

Finding the Third Proportional to 380,603 and 829,012

Calculator

Solution

The third proportional to 380,603 and 829,012 is: 1,805,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,603 : 829,012 = 829,012 : x
  2. Step 2: Convert to fraction form
    380,603/829,012 = 829,012/x
  3. Step 3: Cross multiply
    380,603x = 829,012 × 829,012
  4. Step 4: Simplify right side
    380,603x = 687,260,896,144
  5. Step 5: Solve for x
    x = 687,260,896,144/380,603
  6. Step 6: Final answer
    x = 1,805,715.92

Related Problems

Find third proportional to 190,301.50 and 414,506
Half scale
Find third proportional to 761,206 and 1,658,024
Double scale
Find third proportional to 380,605 and 829,016
Similar ratio
Find third proportional to 570,904.50 and 1,243,518
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.