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Finding the Third Proportional to 297,378,880.88 and 644,172,945.75

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Solution

The third proportional to 297,378,880.88 and 644,172,945.75 is: 1,395,387,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,378,880.88 : 644,172,945.75 = 644,172,945.75 : x
  2. Step 2: Convert to fraction form
    297,378,880.88/644,172,945.75 = 644,172,945.75/x
  3. Step 3: Cross multiply
    297,378,880.88x = 644,172,945.75 × 644,172,945.75
  4. Step 4: Simplify right side
    297,378,880.88x = 414,958,784,036,232,448
  5. Step 5: Solve for x
    x = 414,958,784,036,232,448/297,378,880.88
  6. Step 6: Final answer
    x = 1,395,387,536.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.