Home / 310,905-456,156

Finding the Third Proportional to 310,905 and 456,156

Calculator

Solution

The third proportional to 310,905 and 456,156 is: 669,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,905 : 456,156 = 456,156 : x
  2. Step 2: Convert to fraction form
    310,905/456,156 = 456,156/x
  3. Step 3: Cross multiply
    310,905x = 456,156 × 456,156
  4. Step 4: Simplify right side
    310,905x = 208,078,296,336
  5. Step 5: Solve for x
    x = 208,078,296,336/310,905
  6. Step 6: Final answer
    x = 669,266.48

Related Problems

Find third proportional to 155,452.50 and 228,078
Half scale
Find third proportional to 621,810 and 912,312
Double scale
Find third proportional to 310,907 and 456,159
Similar ratio
Find third proportional to 466,357.50 and 684,234
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.