Home / 78,746-106,089

Finding the Third Proportional to 78,746 and 106,089

Calculator

Solution

The third proportional to 78,746 and 106,089 is: 142,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,746 : 106,089 = 106,089 : x
  2. Step 2: Convert to fraction form
    78,746/106,089 = 106,089/x
  3. Step 3: Cross multiply
    78,746x = 106,089 × 106,089
  4. Step 4: Simplify right side
    78,746x = 11,254,875,921
  5. Step 5: Solve for x
    x = 11,254,875,921/78,746
  6. Step 6: Final answer
    x = 142,926.32

Related Problems

Find third proportional to 39,373 and 53,044.50
Half scale
Find third proportional to 157,492 and 212,178
Double scale
Find third proportional to 78,748 and 106,092
Similar ratio
Find third proportional to 118,119 and 159,133.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.