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Finding the Third Proportional to 553,628,832 and 778,641,912

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Solution

The third proportional to 553,628,832 and 778,641,912 is: 1,095,107,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,628,832 : 778,641,912 = 778,641,912 : x
  2. Step 2: Convert to fraction form
    553,628,832/778,641,912 = 778,641,912/x
  3. Step 3: Cross multiply
    553,628,832x = 778,641,912 × 778,641,912
  4. Step 4: Simplify right side
    553,628,832x = 606,283,227,123,015,680
  5. Step 5: Solve for x
    x = 606,283,227,123,015,680/553,628,832
  6. Step 6: Final answer
    x = 1,095,107,754.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.