Home / 523,402-830,142

Finding the Third Proportional to 523,402 and 830,142

Calculator

Solution

The third proportional to 523,402 and 830,142 is: 1,316,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,402 : 830,142 = 830,142 : x
  2. Step 2: Convert to fraction form
    523,402/830,142 = 830,142/x
  3. Step 3: Cross multiply
    523,402x = 830,142 × 830,142
  4. Step 4: Simplify right side
    523,402x = 689,135,740,164
  5. Step 5: Solve for x
    x = 689,135,740,164/523,402
  6. Step 6: Final answer
    x = 1,316,647.13

Related Problems

Find third proportional to 261,701 and 415,071
Half scale
Find third proportional to 1,046,804 and 1,660,284
Double scale
Find third proportional to 523,404 and 830,145
Similar ratio
Find third proportional to 785,103 and 1,245,213
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.