Home / 97,072-213,178

Finding the Third Proportional to 97,072 and 213,178

Calculator

Solution

The third proportional to 97,072 and 213,178 is: 468,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,072 : 213,178 = 213,178 : x
  2. Step 2: Convert to fraction form
    97,072/213,178 = 213,178/x
  3. Step 3: Cross multiply
    97,072x = 213,178 × 213,178
  4. Step 4: Simplify right side
    97,072x = 45,444,859,684
  5. Step 5: Solve for x
    x = 45,444,859,684/97,072
  6. Step 6: Final answer
    x = 468,156.21

Related Problems

Find third proportional to 48,536 and 106,589
Half scale
Find third proportional to 194,144 and 426,356
Double scale
Find third proportional to 97,074 and 213,182
Similar ratio
Find third proportional to 145,608 and 319,767
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.