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Finding the Third Proportional to 478,823,321 and 673,994,916

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Solution

The third proportional to 478,823,321 and 673,994,916 is: 948,719,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,823,321 : 673,994,916 = 673,994,916 : x
  2. Step 2: Convert to fraction form
    478,823,321/673,994,916 = 673,994,916/x
  3. Step 3: Cross multiply
    478,823,321x = 673,994,916 × 673,994,916
  4. Step 4: Simplify right side
    478,823,321x = 454,269,146,793,847,040
  5. Step 5: Solve for x
    x = 454,269,146,793,847,040/478,823,321
  6. Step 6: Final answer
    x = 948,719,761.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.