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Finding the Third Proportional to 386,027 and 556,895

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Solution

The third proportional to 386,027 and 556,895 is: 803,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,027 : 556,895 = 556,895 : x
  2. Step 2: Convert to fraction form
    386,027/556,895 = 556,895/x
  3. Step 3: Cross multiply
    386,027x = 556,895 × 556,895
  4. Step 4: Simplify right side
    386,027x = 310,132,041,025
  5. Step 5: Solve for x
    x = 310,132,041,025/386,027
  6. Step 6: Final answer
    x = 803,394.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.