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Finding the Third Proportional to 305,432,324 and 647,513,755.50

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Solution

The third proportional to 305,432,324 and 647,513,755.50 is: 1,372,723,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,432,324 : 647,513,755.50 = 647,513,755.50 : x
  2. Step 2: Convert to fraction form
    305,432,324/647,513,755.50 = 647,513,755.50/x
  3. Step 3: Cross multiply
    305,432,324x = 647,513,755.50 × 647,513,755.50
  4. Step 4: Simplify right side
    305,432,324x = 419,274,063,561,713,792
  5. Step 5: Solve for x
    x = 419,274,063,561,713,792/305,432,324
  6. Step 6: Final answer
    x = 1,372,723,286.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.