Home / 106,392-157,534

Finding the Third Proportional to 106,392 and 157,534

Calculator

Solution

The third proportional to 106,392 and 157,534 is: 233,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,392 : 157,534 = 157,534 : x
  2. Step 2: Convert to fraction form
    106,392/157,534 = 157,534/x
  3. Step 3: Cross multiply
    106,392x = 157,534 × 157,534
  4. Step 4: Simplify right side
    106,392x = 24,816,961,156
  5. Step 5: Solve for x
    x = 24,816,961,156/106,392
  6. Step 6: Final answer
    x = 233,259.65

Related Problems

Find third proportional to 53,196 and 78,767
Half scale
Find third proportional to 212,784 and 315,068
Double scale
Find third proportional to 106,394 and 157,537
Similar ratio
Find third proportional to 159,588 and 236,301
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.