Home / 102,856-208,574

Finding the Third Proportional to 102,856 and 208,574

Calculator

Solution

The third proportional to 102,856 and 208,574 is: 422,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,856 : 208,574 = 208,574 : x
  2. Step 2: Convert to fraction form
    102,856/208,574 = 208,574/x
  3. Step 3: Cross multiply
    102,856x = 208,574 × 208,574
  4. Step 4: Simplify right side
    102,856x = 43,503,113,476
  5. Step 5: Solve for x
    x = 43,503,113,476/102,856
  6. Step 6: Final answer
    x = 422,951.64

Related Problems

Find third proportional to 51,428 and 104,287
Half scale
Find third proportional to 205,712 and 417,148
Double scale
Find third proportional to 102,858 and 208,578
Similar ratio
Find third proportional to 154,284 and 312,861
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.