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Finding the Third Proportional to 52,813,512 and 113,436,274.50

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Solution

The third proportional to 52,813,512 and 113,436,274.50 is: 243,645,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,813,512 : 113,436,274.50 = 113,436,274.50 : x
  2. Step 2: Convert to fraction form
    52,813,512/113,436,274.50 = 113,436,274.50/x
  3. Step 3: Cross multiply
    52,813,512x = 113,436,274.50 × 113,436,274.50
  4. Step 4: Simplify right side
    52,813,512x = 12,867,788,372,439,350
  5. Step 5: Solve for x
    x = 12,867,788,372,439,350/52,813,512
  6. Step 6: Final answer
    x = 243,645,761.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.