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Finding the Third Proportional to 219,911,809 and 323,136,087

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Solution

The third proportional to 219,911,809 and 323,136,087 is: 474,812,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,911,809 : 323,136,087 = 323,136,087 : x
  2. Step 2: Convert to fraction form
    219,911,809/323,136,087 = 323,136,087/x
  3. Step 3: Cross multiply
    219,911,809x = 323,136,087 × 323,136,087
  4. Step 4: Simplify right side
    219,911,809x = 104,416,930,721,671,568
  5. Step 5: Solve for x
    x = 104,416,930,721,671,568/219,911,809
  6. Step 6: Final answer
    x = 474,812,749.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.