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Finding the Third Proportional to 386,061 and 556,941

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Solution

The third proportional to 386,061 and 556,941 is: 803,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,061 : 556,941 = 556,941 : x
  2. Step 2: Convert to fraction form
    386,061/556,941 = 556,941/x
  3. Step 3: Cross multiply
    386,061x = 556,941 × 556,941
  4. Step 4: Simplify right side
    386,061x = 310,183,277,481
  5. Step 5: Solve for x
    x = 310,183,277,481/386,061
  6. Step 6: Final answer
    x = 803,456.65

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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.