Home / 419,270-592,698

Finding the Third Proportional to 419,270 and 592,698

Calculator

Solution

The third proportional to 419,270 and 592,698 is: 837,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,270 : 592,698 = 592,698 : x
  2. Step 2: Convert to fraction form
    419,270/592,698 = 592,698/x
  3. Step 3: Cross multiply
    419,270x = 592,698 × 592,698
  4. Step 4: Simplify right side
    419,270x = 351,290,919,204
  5. Step 5: Solve for x
    x = 351,290,919,204/419,270
  6. Step 6: Final answer
    x = 837,863.24

Related Problems

Find third proportional to 209,635 and 296,349
Half scale
Find third proportional to 838,540 and 1,185,396
Double scale
Find third proportional to 419,272 and 592,701
Similar ratio
Find third proportional to 628,905 and 889,047
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.