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Finding the Third Proportional to 810,078,289 and 1,767,344,102

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Solution

The third proportional to 810,078,289 and 1,767,344,102 is: 3,855,806,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,078,289 : 1,767,344,102 = 1,767,344,102 : x
  2. Step 2: Convert to fraction form
    810,078,289/1,767,344,102 = 1,767,344,102/x
  3. Step 3: Cross multiply
    810,078,289x = 1,767,344,102 × 1,767,344,102
  4. Step 4: Simplify right side
    810,078,289x = 3,123,505,174,874,186,240
  5. Step 5: Solve for x
    x = 3,123,505,174,874,186,240/810,078,289
  6. Step 6: Final answer
    x = 3,855,806,552.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.