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Finding the Third Proportional to 345,661,906.50 and 505,369,789.50

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Solution

The third proportional to 345,661,906.50 and 505,369,789.50 is: 738,868,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,661,906.50 : 505,369,789.50 = 505,369,789.50 : x
  2. Step 2: Convert to fraction form
    345,661,906.50/505,369,789.50 = 505,369,789.50/x
  3. Step 3: Cross multiply
    345,661,906.50x = 505,369,789.50 × 505,369,789.50
  4. Step 4: Simplify right side
    345,661,906.50x = 255,398,624,139,274,304
  5. Step 5: Solve for x
    x = 255,398,624,139,274,304/345,661,906.50
  6. Step 6: Final answer
    x = 738,868,296.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.