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Finding the Third Proportional to 492,441,429.25 and 768,475,333

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Solution

The third proportional to 492,441,429.25 and 768,475,333 is: 1,199,237,721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,441,429.25 : 768,475,333 = 768,475,333 : x
  2. Step 2: Convert to fraction form
    492,441,429.25/768,475,333 = 768,475,333/x
  3. Step 3: Cross multiply
    492,441,429.25x = 768,475,333 × 768,475,333
  4. Step 4: Simplify right side
    492,441,429.25x = 590,554,337,429,460,864
  5. Step 5: Solve for x
    x = 590,554,337,429,460,864/492,441,429.25
  6. Step 6: Final answer
    x = 1,199,237,721.18

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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.