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Finding the Third Proportional to 6,438,650 and 13,644,938

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Solution

The third proportional to 6,438,650 and 13,644,938 is: 28,916,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,650 : 13,644,938 = 13,644,938 : x
  2. Step 2: Convert to fraction form
    6,438,650/13,644,938 = 13,644,938/x
  3. Step 3: Cross multiply
    6,438,650x = 13,644,938 × 13,644,938
  4. Step 4: Simplify right side
    6,438,650x = 186,184,333,023,844
  5. Step 5: Solve for x
    x = 186,184,333,023,844/6,438,650
  6. Step 6: Final answer
    x = 28,916,672.44

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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.