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Finding the Third Proportional to 78,716,197 and 162,462,609

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Solution

The third proportional to 78,716,197 and 162,462,609 is: 335,307,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,716,197 : 162,462,609 = 162,462,609 : x
  2. Step 2: Convert to fraction form
    78,716,197/162,462,609 = 162,462,609/x
  3. Step 3: Cross multiply
    78,716,197x = 162,462,609 × 162,462,609
  4. Step 4: Simplify right side
    78,716,197x = 26,394,099,323,086,880
  5. Step 5: Solve for x
    x = 26,394,099,323,086,880/78,716,197
  6. Step 6: Final answer
    x = 335,307,094.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.