Home / 207,989-297,214

Finding the Third Proportional to 207,989 and 297,214

Calculator

Solution

The third proportional to 207,989 and 297,214 is: 424,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,989 : 297,214 = 297,214 : x
  2. Step 2: Convert to fraction form
    207,989/297,214 = 297,214/x
  3. Step 3: Cross multiply
    207,989x = 297,214 × 297,214
  4. Step 4: Simplify right side
    207,989x = 88,336,161,796
  5. Step 5: Solve for x
    x = 88,336,161,796/207,989
  6. Step 6: Final answer
    x = 424,715.55

Related Problems

Find third proportional to 103,994.50 and 148,607
Half scale
Find third proportional to 415,978 and 594,428
Double scale
Find third proportional to 207,991 and 297,217
Similar ratio
Find third proportional to 311,983.50 and 445,821
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.