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Finding the Third Proportional to 345,661,989.50 and 505,369,911

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Solution

The third proportional to 345,661,989.50 and 505,369,911 is: 738,868,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,661,989.50 : 505,369,911 = 505,369,911 : x
  2. Step 2: Convert to fraction form
    345,661,989.50/505,369,911 = 505,369,911/x
  3. Step 3: Cross multiply
    345,661,989.50x = 505,369,911 × 505,369,911
  4. Step 4: Simplify right side
    345,661,989.50x = 255,398,746,944,147,936
  5. Step 5: Solve for x
    x = 255,398,746,944,147,936/345,661,989.50
  6. Step 6: Final answer
    x = 738,868,474.70

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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.