Home / 69,029-106,066

Finding the Third Proportional to 69,029 and 106,066

Calculator

Solution

The third proportional to 69,029 and 106,066 is: 162,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,029 : 106,066 = 106,066 : x
  2. Step 2: Convert to fraction form
    69,029/106,066 = 106,066/x
  3. Step 3: Cross multiply
    69,029x = 106,066 × 106,066
  4. Step 4: Simplify right side
    69,029x = 11,249,996,356
  5. Step 5: Solve for x
    x = 11,249,996,356/69,029
  6. Step 6: Final answer
    x = 162,974.93

Related Problems

Find third proportional to 34,514.50 and 53,033
Half scale
Find third proportional to 138,058 and 212,132
Double scale
Find third proportional to 69,031 and 106,069
Similar ratio
Find third proportional to 103,543.50 and 159,099
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.