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Finding the Third Proportional to 12,926,378 and 19,658,163

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Solution

The third proportional to 12,926,378 and 19,658,163 is: 29,895,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,926,378 : 19,658,163 = 19,658,163 : x
  2. Step 2: Convert to fraction form
    12,926,378/19,658,163 = 19,658,163/x
  3. Step 3: Cross multiply
    12,926,378x = 19,658,163 × 19,658,163
  4. Step 4: Simplify right side
    12,926,378x = 386,443,372,534,569
  5. Step 5: Solve for x
    x = 386,443,372,534,569/12,926,378
  6. Step 6: Final answer
    x = 29,895,719.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.