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Finding the Third Proportional to 209,848,020 and 329,148,548

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Solution

The third proportional to 209,848,020 and 329,148,548 is: 516,272,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,848,020 : 329,148,548 = 329,148,548 : x
  2. Step 2: Convert to fraction form
    209,848,020/329,148,548 = 329,148,548/x
  3. Step 3: Cross multiply
    209,848,020x = 329,148,548 × 329,148,548
  4. Step 4: Simplify right side
    209,848,020x = 108,338,766,650,508,304
  5. Step 5: Solve for x
    x = 108,338,766,650,508,304/209,848,020
  6. Step 6: Final answer
    x = 516,272,522.61

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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.