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Finding the Third Proportional to 315,427 and 672,146

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Solution

The third proportional to 315,427 and 672,146 is: 1,432,281.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,427 : 672,146 = 672,146 : x
  2. Step 2: Convert to fraction form
    315,427/672,146 = 672,146/x
  3. Step 3: Cross multiply
    315,427x = 672,146 × 672,146
  4. Step 4: Simplify right side
    315,427x = 451,780,245,316
  5. Step 5: Solve for x
    x = 451,780,245,316/315,427
  6. Step 6: Final answer
    x = 1,432,281.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.