Home / 102,088-149,670

Finding the Third Proportional to 102,088 and 149,670

Calculator

Solution

The third proportional to 102,088 and 149,670 is: 219,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,088 : 149,670 = 149,670 : x
  2. Step 2: Convert to fraction form
    102,088/149,670 = 149,670/x
  3. Step 3: Cross multiply
    102,088x = 149,670 × 149,670
  4. Step 4: Simplify right side
    102,088x = 22,401,108,900
  5. Step 5: Solve for x
    x = 22,401,108,900/102,088
  6. Step 6: Final answer
    x = 219,429.40

Related Problems

Find third proportional to 51,044 and 74,835
Half scale
Find third proportional to 204,176 and 299,340
Double scale
Find third proportional to 102,090 and 149,673
Similar ratio
Find third proportional to 153,132 and 224,505
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.