Home / 97,074-146,295

Finding the Third Proportional to 97,074 and 146,295

Calculator

Solution

The third proportional to 97,074 and 146,295 is: 220,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,074 : 146,295 = 146,295 : x
  2. Step 2: Convert to fraction form
    97,074/146,295 = 146,295/x
  3. Step 3: Cross multiply
    97,074x = 146,295 × 146,295
  4. Step 4: Simplify right side
    97,074x = 21,402,227,025
  5. Step 5: Solve for x
    x = 21,402,227,025/97,074
  6. Step 6: Final answer
    x = 220,473.32

Related Problems

Find third proportional to 48,537 and 73,147.50
Half scale
Find third proportional to 194,148 and 292,590
Double scale
Find third proportional to 97,076 and 146,298
Similar ratio
Find third proportional to 145,611 and 219,442.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.