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Finding the Third Proportional to 409,819 and 632,905

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Solution

The third proportional to 409,819 and 632,905 is: 977,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,819 : 632,905 = 632,905 : x
  2. Step 2: Convert to fraction form
    409,819/632,905 = 632,905/x
  3. Step 3: Cross multiply
    409,819x = 632,905 × 632,905
  4. Step 4: Simplify right side
    409,819x = 400,568,739,025
  5. Step 5: Solve for x
    x = 400,568,739,025/409,819
  6. Step 6: Final answer
    x = 977,428.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.