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Finding the Third Proportional to 311,941.13 and 677,316.94

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Solution

The third proportional to 311,941.13 and 677,316.94 is: 1,470,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,941.13 : 677,316.94 = 677,316.94 : x
  2. Step 2: Convert to fraction form
    311,941.13/677,316.94 = 677,316.94/x
  3. Step 3: Cross multiply
    311,941.13x = 677,316.94 × 677,316.94
  4. Step 4: Simplify right side
    311,941.13x = 458,758,233,824.38
  5. Step 5: Solve for x
    x = 458,758,233,824.38/311,941.13
  6. Step 6: Final answer
    x = 1,470,656.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.