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Finding the Third Proportional to 332,343,369 and 769,314,724.50

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Solution

The third proportional to 332,343,369 and 769,314,724.50 is: 1,780,824,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,343,369 : 769,314,724.50 = 769,314,724.50 : x
  2. Step 2: Convert to fraction form
    332,343,369/769,314,724.50 = 769,314,724.50/x
  3. Step 3: Cross multiply
    332,343,369x = 769,314,724.50 × 769,314,724.50
  4. Step 4: Simplify right side
    332,343,369x = 591,845,145,332,510,848
  5. Step 5: Solve for x
    x = 591,845,145,332,510,848/332,343,369
  6. Step 6: Final answer
    x = 1,780,824,293.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.