Home / 821,074-1,307,506

Finding the Third Proportional to 821,074 and 1,307,506

Calculator

Solution

The third proportional to 821,074 and 1,307,506 is: 2,082,116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,074 : 1,307,506 = 1,307,506 : x
  2. Step 2: Convert to fraction form
    821,074/1,307,506 = 1,307,506/x
  3. Step 3: Cross multiply
    821,074x = 1,307,506 × 1,307,506
  4. Step 4: Simplify right side
    821,074x = 1,709,571,940,036
  5. Step 5: Solve for x
    x = 1,709,571,940,036/821,074
  6. Step 6: Final answer
    x = 2,082,116.76

Related Problems

Find third proportional to 410,537 and 653,753
Half scale
Find third proportional to 1,642,148 and 2,615,012
Double scale
Find third proportional to 821,076 and 1,307,509
Similar ratio
Find third proportional to 1,231,611 and 1,961,259
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.