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Finding the Third Proportional to 78,509,682 and 171,295,692

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Solution

The third proportional to 78,509,682 and 171,295,692 is: 373,740,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509,682 : 171,295,692 = 171,295,692 : x
  2. Step 2: Convert to fraction form
    78,509,682/171,295,692 = 171,295,692/x
  3. Step 3: Cross multiply
    78,509,682x = 171,295,692 × 171,295,692
  4. Step 4: Simplify right side
    78,509,682x = 29,342,214,097,758,864
  5. Step 5: Solve for x
    x = 29,342,214,097,758,864/78,509,682
  6. Step 6: Final answer
    x = 373,740,070.65

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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.