Home / 97,484-146,946

Finding the Third Proportional to 97,484 and 146,946

Calculator

Solution

The third proportional to 97,484 and 146,946 is: 221,504.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,484 : 146,946 = 146,946 : x
  2. Step 2: Convert to fraction form
    97,484/146,946 = 146,946/x
  3. Step 3: Cross multiply
    97,484x = 146,946 × 146,946
  4. Step 4: Simplify right side
    97,484x = 21,593,126,916
  5. Step 5: Solve for x
    x = 21,593,126,916/97,484
  6. Step 6: Final answer
    x = 221,504.32

Related Problems

Find third proportional to 48,742 and 73,473
Half scale
Find third proportional to 194,968 and 293,892
Double scale
Find third proportional to 97,486 and 146,949
Similar ratio
Find third proportional to 146,226 and 220,419
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.