Home / 306,051-465,846

Finding the Third Proportional to 306,051 and 465,846

Calculator

Solution

The third proportional to 306,051 and 465,846 is: 709,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,051 : 465,846 = 465,846 : x
  2. Step 2: Convert to fraction form
    306,051/465,846 = 465,846/x
  3. Step 3: Cross multiply
    306,051x = 465,846 × 465,846
  4. Step 4: Simplify right side
    306,051x = 217,012,495,716
  5. Step 5: Solve for x
    x = 217,012,495,716/306,051
  6. Step 6: Final answer
    x = 709,072.98

Related Problems

Find third proportional to 153,025.50 and 232,923
Half scale
Find third proportional to 612,102 and 931,692
Double scale
Find third proportional to 306,053 and 465,849
Similar ratio
Find third proportional to 459,076.50 and 698,769
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.