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Finding the Third Proportional to 78,509,684 and 171,295,696

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Solution

The third proportional to 78,509,684 and 171,295,696 is: 373,740,078.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509,684 : 171,295,696 = 171,295,696 : x
  2. Step 2: Convert to fraction form
    78,509,684/171,295,696 = 171,295,696/x
  3. Step 3: Cross multiply
    78,509,684x = 171,295,696 × 171,295,696
  4. Step 4: Simplify right side
    78,509,684x = 29,342,215,468,124,416
  5. Step 5: Solve for x
    x = 29,342,215,468,124,416/78,509,684
  6. Step 6: Final answer
    x = 373,740,078.59

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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.