Home / 164,465-354,307

Finding the Third Proportional to 164,465 and 354,307

Calculator

Solution

The third proportional to 164,465 and 354,307 is: 763,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,465 : 354,307 = 354,307 : x
  2. Step 2: Convert to fraction form
    164,465/354,307 = 354,307/x
  3. Step 3: Cross multiply
    164,465x = 354,307 × 354,307
  4. Step 4: Simplify right side
    164,465x = 125,533,450,249
  5. Step 5: Solve for x
    x = 125,533,450,249/164,465
  6. Step 6: Final answer
    x = 763,283.68

Related Problems

Find third proportional to 82,232.50 and 177,153.50
Half scale
Find third proportional to 328,930 and 708,614
Double scale
Find third proportional to 164,467 and 354,311
Similar ratio
Find third proportional to 246,697.50 and 531,460.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.