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Finding the Third Proportional to 8,122,520 and 10,781,913

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Solution

The third proportional to 8,122,520 and 10,781,913 is: 14,312,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122,520 : 10,781,913 = 10,781,913 : x
  2. Step 2: Convert to fraction form
    8,122,520/10,781,913 = 10,781,913/x
  3. Step 3: Cross multiply
    8,122,520x = 10,781,913 × 10,781,913
  4. Step 4: Simplify right side
    8,122,520x = 116,249,647,939,569
  5. Step 5: Solve for x
    x = 116,249,647,939,569/8,122,520
  6. Step 6: Final answer
    x = 14,312,017.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.