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Finding the Third Proportional to 212,987,296 and 304,364,384

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Solution

The third proportional to 212,987,296 and 304,364,384 is: 434,944,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,987,296 : 304,364,384 = 304,364,384 : x
  2. Step 2: Convert to fraction form
    212,987,296/304,364,384 = 304,364,384/x
  3. Step 3: Cross multiply
    212,987,296x = 304,364,384 × 304,364,384
  4. Step 4: Simplify right side
    212,987,296x = 92,637,678,247,699,456
  5. Step 5: Solve for x
    x = 92,637,678,247,699,456/212,987,296
  6. Step 6: Final answer
    x = 434,944,618.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.