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Finding the Third Proportional to 276,100,299 and 613,490,935.50

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Solution

The third proportional to 276,100,299 and 613,490,935.50 is: 1,363,168,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,100,299 : 613,490,935.50 = 613,490,935.50 : x
  2. Step 2: Convert to fraction form
    276,100,299/613,490,935.50 = 613,490,935.50/x
  3. Step 3: Cross multiply
    276,100,299x = 613,490,935.50 × 613,490,935.50
  4. Step 4: Simplify right side
    276,100,299x = 376,371,127,940,665,152
  5. Step 5: Solve for x
    x = 376,371,127,940,665,152/276,100,299
  6. Step 6: Final answer
    x = 1,363,168,128.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.