Home / 538,906-830,823

Finding the Third Proportional to 538,906 and 830,823

Calculator

Solution

The third proportional to 538,906 and 830,823 is: 1,280,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,906 : 830,823 = 830,823 : x
  2. Step 2: Convert to fraction form
    538,906/830,823 = 830,823/x
  3. Step 3: Cross multiply
    538,906x = 830,823 × 830,823
  4. Step 4: Simplify right side
    538,906x = 690,266,857,329
  5. Step 5: Solve for x
    x = 690,266,857,329/538,906
  6. Step 6: Final answer
    x = 1,280,866.90

Related Problems

Find third proportional to 269,453 and 415,411.50
Half scale
Find third proportional to 1,077,812 and 1,661,646
Double scale
Find third proportional to 538,908 and 830,826
Similar ratio
Find third proportional to 808,359 and 1,246,234.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.