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Finding the Third Proportional to 8,205,712 and 17,856,320

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Solution

The third proportional to 8,205,712 and 17,856,320 is: 38,856,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205,712 : 17,856,320 = 17,856,320 : x
  2. Step 2: Convert to fraction form
    8,205,712/17,856,320 = 17,856,320/x
  3. Step 3: Cross multiply
    8,205,712x = 17,856,320 × 17,856,320
  4. Step 4: Simplify right side
    8,205,712x = 318,848,163,942,400
  5. Step 5: Solve for x
    x = 318,848,163,942,400/8,205,712
  6. Step 6: Final answer
    x = 38,856,855.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.