Home / 217,563-461,262

Finding the Third Proportional to 217,563 and 461,262

Calculator

Solution

The third proportional to 217,563 and 461,262 is: 977,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,563 : 461,262 = 461,262 : x
  2. Step 2: Convert to fraction form
    217,563/461,262 = 461,262/x
  3. Step 3: Cross multiply
    217,563x = 461,262 × 461,262
  4. Step 4: Simplify right side
    217,563x = 212,762,632,644
  5. Step 5: Solve for x
    x = 212,762,632,644/217,563
  6. Step 6: Final answer
    x = 977,935.74

Related Problems

Find third proportional to 108,781.50 and 230,631
Half scale
Find third proportional to 435,126 and 922,524
Double scale
Find third proportional to 217,565 and 461,266
Similar ratio
Find third proportional to 326,344.50 and 691,893
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.