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Finding the Third Proportional to 276,760,768 and 389,298,870

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Solution

The third proportional to 276,760,768 and 389,298,870 is: 547,597,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,760,768 : 389,298,870 = 389,298,870 : x
  2. Step 2: Convert to fraction form
    276,760,768/389,298,870 = 389,298,870/x
  3. Step 3: Cross multiply
    276,760,768x = 389,298,870 × 389,298,870
  4. Step 4: Simplify right side
    276,760,768x = 151,553,610,183,276,896
  5. Step 5: Solve for x
    x = 151,553,610,183,276,896/276,760,768
  6. Step 6: Final answer
    x = 547,597,881.30

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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.