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Finding the Third Proportional to 6,438,536 and 13,644,709

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Solution

The third proportional to 6,438,536 and 13,644,709 is: 28,916,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,536 : 13,644,709 = 13,644,709 : x
  2. Step 2: Convert to fraction form
    6,438,536/13,644,709 = 13,644,709/x
  3. Step 3: Cross multiply
    6,438,536x = 13,644,709 × 13,644,709
  4. Step 4: Simplify right side
    6,438,536x = 186,178,083,694,681
  5. Step 5: Solve for x
    x = 186,178,083,694,681/6,438,536
  6. Step 6: Final answer
    x = 28,916,213.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.