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Finding the Third Proportional to 258,638 and 403,670

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Solution

The third proportional to 258,638 and 403,670 is: 630,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,638 : 403,670 = 403,670 : x
  2. Step 2: Convert to fraction form
    258,638/403,670 = 403,670/x
  3. Step 3: Cross multiply
    258,638x = 403,670 × 403,670
  4. Step 4: Simplify right side
    258,638x = 162,949,468,900
  5. Step 5: Solve for x
    x = 162,949,468,900/258,638
  6. Step 6: Final answer
    x = 630,029.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.