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Finding the Third Proportional to 12,847,109 and 19,228,039

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Solution

The third proportional to 12,847,109 and 19,228,039 is: 28,778,263.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847,109 : 19,228,039 = 19,228,039 : x
  2. Step 2: Convert to fraction form
    12,847,109/19,228,039 = 19,228,039/x
  3. Step 3: Cross multiply
    12,847,109x = 19,228,039 × 19,228,039
  4. Step 4: Simplify right side
    12,847,109x = 369,717,483,785,521
  5. Step 5: Solve for x
    x = 369,717,483,785,521/12,847,109
  6. Step 6: Final answer
    x = 28,778,263.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.