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Finding the Third Proportional to 298,239,509.53 and 627,385,634.72

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Solution

The third proportional to 298,239,509.53 and 627,385,634.72 is: 1,319,787,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,239,509.53 : 627,385,634.72 = 627,385,634.72 : x
  2. Step 2: Convert to fraction form
    298,239,509.53/627,385,634.72 = 627,385,634.72/x
  3. Step 3: Cross multiply
    298,239,509.53x = 627,385,634.72 × 627,385,634.72
  4. Step 4: Simplify right side
    298,239,509.53x = 393,612,734,651,448,832
  5. Step 5: Solve for x
    x = 393,612,734,651,448,832/298,239,509.53
  6. Step 6: Final answer
    x = 1,319,787,359.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.