Home / 217,052-465,253

Finding the Third Proportional to 217,052 and 465,253

Calculator

Solution

The third proportional to 217,052 and 465,253 is: 997,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,052 : 465,253 = 465,253 : x
  2. Step 2: Convert to fraction form
    217,052/465,253 = 465,253/x
  3. Step 3: Cross multiply
    217,052x = 465,253 × 465,253
  4. Step 4: Simplify right side
    217,052x = 216,460,354,009
  5. Step 5: Solve for x
    x = 216,460,354,009/217,052
  6. Step 6: Final answer
    x = 997,274.17

Related Problems

Find third proportional to 108,526 and 232,626.50
Half scale
Find third proportional to 434,104 and 930,506
Double scale
Find third proportional to 217,054 and 465,257
Similar ratio
Find third proportional to 325,578 and 697,879.50
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.