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Finding the Third Proportional to 445,879,080 and 932,413,396.50

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Solution

The third proportional to 445,879,080 and 932,413,396.50 is: 1,949,844,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,879,080 : 932,413,396.50 = 932,413,396.50 : x
  2. Step 2: Convert to fraction form
    445,879,080/932,413,396.50 = 932,413,396.50/x
  3. Step 3: Cross multiply
    445,879,080x = 932,413,396.50 × 932,413,396.50
  4. Step 4: Simplify right side
    445,879,080x = 869,394,741,972,666,240
  5. Step 5: Solve for x
    x = 869,394,741,972,666,240/445,879,080
  6. Step 6: Final answer
    x = 1,949,844,208.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.