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Finding the Third Proportional to 52,759,772,538 and 113,784,282,228

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Solution

The third proportional to 52,759,772,538 and 113,784,282,228 is: 245,392,697,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,759,772,538 : 113,784,282,228 = 113,784,282,228 : x
  2. Step 2: Convert to fraction form
    52,759,772,538/113,784,282,228 = 113,784,282,228/x
  3. Step 3: Cross multiply
    52,759,772,538x = 113,784,282,228 × 113,784,282,228
  4. Step 4: Simplify right side
    52,759,772,538x = 12,946,862,882,141,157,457,920
  5. Step 5: Solve for x
    x = 12,946,862,882,141,157,457,920/52,759,772,538
  6. Step 6: Final answer
    x = 245,392,697,112.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.