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Finding the Third Proportional to 422,307 and 896,430

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Solution

The third proportional to 422,307 and 896,430 is: 1,902,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,307 : 896,430 = 896,430 : x
  2. Step 2: Convert to fraction form
    422,307/896,430 = 896,430/x
  3. Step 3: Cross multiply
    422,307x = 896,430 × 896,430
  4. Step 4: Simplify right side
    422,307x = 803,586,744,900
  5. Step 5: Solve for x
    x = 803,586,744,900/422,307
  6. Step 6: Final answer
    x = 1,902,849.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.