Home / 53,454-115,464

Finding the Third Proportional to 53,454 and 115,464

Calculator

Solution

The third proportional to 53,454 and 115,464 is: 249,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,454 : 115,464 = 115,464 : x
  2. Step 2: Convert to fraction form
    53,454/115,464 = 115,464/x
  3. Step 3: Cross multiply
    53,454x = 115,464 × 115,464
  4. Step 4: Simplify right side
    53,454x = 13,331,935,296
  5. Step 5: Solve for x
    x = 13,331,935,296/53,454
  6. Step 6: Final answer
    x = 249,409.50

Related Problems

Find third proportional to 26,727 and 57,732
Half scale
Find third proportional to 106,908 and 230,928
Double scale
Find third proportional to 53,456 and 115,468
Similar ratio
Find third proportional to 80,181 and 173,196
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.