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Finding the Third Proportional to 398,250 and 630,918

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Solution

The third proportional to 398,250 and 630,918 is: 999,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,250 : 630,918 = 630,918 : x
  2. Step 2: Convert to fraction form
    398,250/630,918 = 630,918/x
  3. Step 3: Cross multiply
    398,250x = 630,918 × 630,918
  4. Step 4: Simplify right side
    398,250x = 398,057,522,724
  5. Step 5: Solve for x
    x = 398,057,522,724/398,250
  6. Step 6: Final answer
    x = 999,516.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.