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Finding the Third Proportional to 286,418,880 and 440,502,192

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Solution

The third proportional to 286,418,880 and 440,502,192 is: 677,476,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,418,880 : 440,502,192 = 440,502,192 : x
  2. Step 2: Convert to fraction form
    286,418,880/440,502,192 = 440,502,192/x
  3. Step 3: Cross multiply
    286,418,880x = 440,502,192 × 440,502,192
  4. Step 4: Simplify right side
    286,418,880x = 194,042,181,156,804,864
  5. Step 5: Solve for x
    x = 194,042,181,156,804,864/286,418,880
  6. Step 6: Final answer
    x = 677,476,921.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.