Home / 463,670-977,156

Finding the Third Proportional to 463,670 and 977,156

Calculator

Solution

The third proportional to 463,670 and 977,156 is: 2,059,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,670 : 977,156 = 977,156 : x
  2. Step 2: Convert to fraction form
    463,670/977,156 = 977,156/x
  3. Step 3: Cross multiply
    463,670x = 977,156 × 977,156
  4. Step 4: Simplify right side
    463,670x = 954,833,848,336
  5. Step 5: Solve for x
    x = 954,833,848,336/463,670
  6. Step 6: Final answer
    x = 2,059,296.16

Related Problems

Find third proportional to 231,835 and 488,578
Half scale
Find third proportional to 927,340 and 1,954,312
Double scale
Find third proportional to 463,672 and 977,160
Similar ratio
Find third proportional to 695,505 and 1,465,734
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.