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Finding the Third Proportional to 209,687,553 and 328,221,225

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Solution

The third proportional to 209,687,553 and 328,221,225 is: 513,760,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,687,553 : 328,221,225 = 328,221,225 : x
  2. Step 2: Convert to fraction form
    209,687,553/328,221,225 = 328,221,225/x
  3. Step 3: Cross multiply
    209,687,553x = 328,221,225 × 328,221,225
  4. Step 4: Simplify right side
    209,687,553x = 107,729,172,540,500,624
  5. Step 5: Solve for x
    x = 107,729,172,540,500,624/209,687,553
  6. Step 6: Final answer
    x = 513,760,454.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.