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Finding the Third Proportional to 393,005 and 556,214

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Solution

The third proportional to 393,005 and 556,214 is: 787,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,005 : 556,214 = 556,214 : x
  2. Step 2: Convert to fraction form
    393,005/556,214 = 556,214/x
  3. Step 3: Cross multiply
    393,005x = 556,214 × 556,214
  4. Step 4: Simplify right side
    393,005x = 309,374,013,796
  5. Step 5: Solve for x
    x = 309,374,013,796/393,005
  6. Step 6: Final answer
    x = 787,201.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.