Home / 406,106-595,304

Finding the Third Proportional to 406,106 and 595,304

Calculator

Solution

The third proportional to 406,106 and 595,304 is: 872,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,106 : 595,304 = 595,304 : x
  2. Step 2: Convert to fraction form
    406,106/595,304 = 595,304/x
  3. Step 3: Cross multiply
    406,106x = 595,304 × 595,304
  4. Step 4: Simplify right side
    406,106x = 354,386,852,416
  5. Step 5: Solve for x
    x = 354,386,852,416/406,106
  6. Step 6: Final answer
    x = 872,646.19

Related Problems

Find third proportional to 203,053 and 297,652
Half scale
Find third proportional to 812,212 and 1,190,608
Double scale
Find third proportional to 406,108 and 595,307
Similar ratio
Find third proportional to 609,159 and 892,956
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.