Home / 269,197-417,030

Finding the Third Proportional to 269,197 and 417,030

Calculator

Solution

The third proportional to 269,197 and 417,030 is: 646,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,197 : 417,030 = 417,030 : x
  2. Step 2: Convert to fraction form
    269,197/417,030 = 417,030/x
  3. Step 3: Cross multiply
    269,197x = 417,030 × 417,030
  4. Step 4: Simplify right side
    269,197x = 173,914,020,900
  5. Step 5: Solve for x
    x = 173,914,020,900/269,197
  6. Step 6: Final answer
    x = 646,047.40

Related Problems

Find third proportional to 134,598.50 and 208,515
Half scale
Find third proportional to 538,394 and 834,060
Double scale
Find third proportional to 269,199 and 417,033
Similar ratio
Find third proportional to 403,795.50 and 625,545
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.