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Finding the Third Proportional to 492,441,431 and 768,475,336

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Solution

The third proportional to 492,441,431 and 768,475,336 is: 1,199,237,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,441,431 : 768,475,336 = 768,475,336 : x
  2. Step 2: Convert to fraction form
    492,441,431/768,475,336 = 768,475,336/x
  3. Step 3: Cross multiply
    492,441,431x = 768,475,336 × 768,475,336
  4. Step 4: Simplify right side
    492,441,431x = 590,554,342,040,312,832
  5. Step 5: Solve for x
    x = 590,554,342,040,312,832/492,441,431
  6. Step 6: Final answer
    x = 1,199,237,726.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.