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Finding the Third Proportional to 9,902,421 and 15,147,872

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Solution

The third proportional to 9,902,421 and 15,147,872 is: 23,171,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902,421 : 15,147,872 = 15,147,872 : x
  2. Step 2: Convert to fraction form
    9,902,421/15,147,872 = 15,147,872/x
  3. Step 3: Cross multiply
    9,902,421x = 15,147,872 × 15,147,872
  4. Step 4: Simplify right side
    9,902,421x = 229,458,026,128,384
  5. Step 5: Solve for x
    x = 229,458,026,128,384/9,902,421
  6. Step 6: Final answer
    x = 23,171,911.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.