Home / 463,270-690,856

Finding the Third Proportional to 463,270 and 690,856

Calculator

Solution

The third proportional to 463,270 and 690,856 is: 1,030,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,270 : 690,856 = 690,856 : x
  2. Step 2: Convert to fraction form
    463,270/690,856 = 690,856/x
  3. Step 3: Cross multiply
    463,270x = 690,856 × 690,856
  4. Step 4: Simplify right side
    463,270x = 477,282,012,736
  5. Step 5: Solve for x
    x = 477,282,012,736/463,270
  6. Step 6: Final answer
    x = 1,030,245.89

Related Problems

Find third proportional to 231,635 and 345,428
Half scale
Find third proportional to 926,540 and 1,381,712
Double scale
Find third proportional to 463,272 and 690,859
Similar ratio
Find third proportional to 694,905 and 1,036,284
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.