Home / 523,550-830,361

Finding the Third Proportional to 523,550 and 830,361

Calculator

Solution

The third proportional to 523,550 and 830,361 is: 1,316,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,550 : 830,361 = 830,361 : x
  2. Step 2: Convert to fraction form
    523,550/830,361 = 830,361/x
  3. Step 3: Cross multiply
    523,550x = 830,361 × 830,361
  4. Step 4: Simplify right side
    523,550x = 689,499,390,321
  5. Step 5: Solve for x
    x = 689,499,390,321/523,550
  6. Step 6: Final answer
    x = 1,316,969.52

Related Problems

Find third proportional to 261,775 and 415,180.50
Half scale
Find third proportional to 1,047,100 and 1,660,722
Double scale
Find third proportional to 523,552 and 830,364
Similar ratio
Find third proportional to 785,325 and 1,245,541.50
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.