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Finding the Third Proportional to 3,927,213 and 8,329,815

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Solution

The third proportional to 3,927,213 and 8,329,815 is: 17,667,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927,213 : 8,329,815 = 8,329,815 : x
  2. Step 2: Convert to fraction form
    3,927,213/8,329,815 = 8,329,815/x
  3. Step 3: Cross multiply
    3,927,213x = 8,329,815 × 8,329,815
  4. Step 4: Simplify right side
    3,927,213x = 69,385,817,934,225
  5. Step 5: Solve for x
    x = 69,385,817,934,225/3,927,213
  6. Step 6: Final answer
    x = 17,667,953.82

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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.