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Finding the Third Proportional to 211,478,174 and 323,295,643

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Solution

The third proportional to 211,478,174 and 323,295,643 is: 494,235,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,478,174 : 323,295,643 = 323,295,643 : x
  2. Step 2: Convert to fraction form
    211,478,174/323,295,643 = 323,295,643/x
  3. Step 3: Cross multiply
    211,478,174x = 323,295,643 × 323,295,643
  4. Step 4: Simplify right side
    211,478,174x = 104,520,072,782,783,456
  5. Step 5: Solve for x
    x = 104,520,072,782,783,456/211,478,174
  6. Step 6: Final answer
    x = 494,235,744.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.