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Finding the Third Proportional to 553,628,812 and 778,641,882

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Solution

The third proportional to 553,628,812 and 778,641,882 is: 1,095,107,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,628,812 : 778,641,882 = 778,641,882 : x
  2. Step 2: Convert to fraction form
    553,628,812/778,641,882 = 778,641,882/x
  3. Step 3: Cross multiply
    553,628,812x = 778,641,882 × 778,641,882
  4. Step 4: Simplify right side
    553,628,812x = 606,283,180,404,501,888
  5. Step 5: Solve for x
    x = 606,283,180,404,501,888/553,628,812
  6. Step 6: Final answer
    x = 1,095,107,709.83

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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.