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Finding the Third Proportional to 8,205,707 and 17,856,310

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Solution

The third proportional to 8,205,707 and 17,856,310 is: 38,856,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205,707 : 17,856,310 = 17,856,310 : x
  2. Step 2: Convert to fraction form
    8,205,707/17,856,310 = 17,856,310/x
  3. Step 3: Cross multiply
    8,205,707x = 17,856,310 × 17,856,310
  4. Step 4: Simplify right side
    8,205,707x = 318,847,806,816,100
  5. Step 5: Solve for x
    x = 318,847,806,816,100/8,205,707
  6. Step 6: Final answer
    x = 38,856,835.47

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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.