Home / 217,072-465,290

Finding the Third Proportional to 217,072 and 465,290

Calculator

Solution

The third proportional to 217,072 and 465,290 is: 997,340.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,072 : 465,290 = 465,290 : x
  2. Step 2: Convert to fraction form
    217,072/465,290 = 465,290/x
  3. Step 3: Cross multiply
    217,072x = 465,290 × 465,290
  4. Step 4: Simplify right side
    217,072x = 216,494,784,100
  5. Step 5: Solve for x
    x = 216,494,784,100/217,072
  6. Step 6: Final answer
    x = 997,340.90

Related Problems

Find third proportional to 108,536 and 232,645
Half scale
Find third proportional to 434,144 and 930,580
Double scale
Find third proportional to 217,074 and 465,294
Similar ratio
Find third proportional to 325,608 and 697,935
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.