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Finding the Third Proportional to 13,829,420.25 and 19,979,404.31

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Solution

The third proportional to 13,829,420.25 and 19,979,404.31 is: 28,864,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829,420.25 : 19,979,404.31 = 19,979,404.31 : x
  2. Step 2: Convert to fraction form
    13,829,420.25/19,979,404.31 = 19,979,404.31/x
  3. Step 3: Cross multiply
    13,829,420.25x = 19,979,404.31 × 19,979,404.31
  4. Step 4: Simplify right side
    13,829,420.25x = 399,176,596,682,343.62
  5. Step 5: Solve for x
    x = 399,176,596,682,343.62/13,829,420.25
  6. Step 6: Final answer
    x = 28,864,304.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.