Home / 75,042-105,534

Finding the Third Proportional to 75,042 and 105,534

Calculator

Solution

The third proportional to 75,042 and 105,534 is: 148,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,042 : 105,534 = 105,534 : x
  2. Step 2: Convert to fraction form
    75,042/105,534 = 105,534/x
  3. Step 3: Cross multiply
    75,042x = 105,534 × 105,534
  4. Step 4: Simplify right side
    75,042x = 11,137,425,156
  5. Step 5: Solve for x
    x = 11,137,425,156/75,042
  6. Step 6: Final answer
    x = 148,415.89

Related Problems

Find third proportional to 37,521 and 52,767
Half scale
Find third proportional to 150,084 and 211,068
Double scale
Find third proportional to 75,044 and 105,537
Similar ratio
Find third proportional to 112,563 and 158,301
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.