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Finding the Third Proportional to 405,769 and 633,217

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Solution

The third proportional to 405,769 and 633,217 is: 988,157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,769 : 633,217 = 633,217 : x
  2. Step 2: Convert to fraction form
    405,769/633,217 = 633,217/x
  3. Step 3: Cross multiply
    405,769x = 633,217 × 633,217
  4. Step 4: Simplify right side
    405,769x = 400,963,769,089
  5. Step 5: Solve for x
    x = 400,963,769,089/405,769
  6. Step 6: Final answer
    x = 988,157.72

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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.