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Finding the Third Proportional to 211,478,542 and 323,296,154

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Solution

The third proportional to 211,478,542 and 323,296,154 is: 494,236,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,478,542 : 323,296,154 = 323,296,154 : x
  2. Step 2: Convert to fraction form
    211,478,542/323,296,154 = 323,296,154/x
  3. Step 3: Cross multiply
    211,478,542x = 323,296,154 × 323,296,154
  4. Step 4: Simplify right side
    211,478,542x = 104,520,403,191,191,712
  5. Step 5: Solve for x
    x = 104,520,403,191,191,712/211,478,542
  6. Step 6: Final answer
    x = 494,236,446.89

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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.