Home / 97,641-197,997

Finding the Third Proportional to 97,641 and 197,997

Calculator

Solution

The third proportional to 97,641 and 197,997 is: 401,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,641 : 197,997 = 197,997 : x
  2. Step 2: Convert to fraction form
    97,641/197,997 = 197,997/x
  3. Step 3: Cross multiply
    97,641x = 197,997 × 197,997
  4. Step 4: Simplify right side
    97,641x = 39,202,812,009
  5. Step 5: Solve for x
    x = 39,202,812,009/97,641
  6. Step 6: Final answer
    x = 401,499.49

Related Problems

Find third proportional to 48,820.50 and 98,998.50
Half scale
Find third proportional to 195,282 and 395,994
Double scale
Find third proportional to 97,643 and 198,001
Similar ratio
Find third proportional to 146,461.50 and 296,995.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.