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Finding the Third Proportional to 8,176,420 and 17,200,328

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Solution

The third proportional to 8,176,420 and 17,200,328 is: 36,183,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176,420 : 17,200,328 = 17,200,328 : x
  2. Step 2: Convert to fraction form
    8,176,420/17,200,328 = 17,200,328/x
  3. Step 3: Cross multiply
    8,176,420x = 17,200,328 × 17,200,328
  4. Step 4: Simplify right side
    8,176,420x = 295,851,283,307,584
  5. Step 5: Solve for x
    x = 295,851,283,307,584/8,176,420
  6. Step 6: Final answer
    x = 36,183,474.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.