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Finding the Third Proportional to 314,256 and 683,156

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Solution

The third proportional to 314,256 and 683,156 is: 1,485,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,256 : 683,156 = 683,156 : x
  2. Step 2: Convert to fraction form
    314,256/683,156 = 683,156/x
  3. Step 3: Cross multiply
    314,256x = 683,156 × 683,156
  4. Step 4: Simplify right side
    314,256x = 466,702,120,336
  5. Step 5: Solve for x
    x = 466,702,120,336/314,256
  6. Step 6: Final answer
    x = 1,485,101.70

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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.