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Finding the Third Proportional to 78,043,992 and 168,074,872

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Solution

The third proportional to 78,043,992 and 168,074,872 is: 361,964,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,043,992 : 168,074,872 = 168,074,872 : x
  2. Step 2: Convert to fraction form
    78,043,992/168,074,872 = 168,074,872/x
  3. Step 3: Cross multiply
    78,043,992x = 168,074,872 × 168,074,872
  4. Step 4: Simplify right side
    78,043,992x = 28,249,162,597,816,384
  5. Step 5: Solve for x
    x = 28,249,162,597,816,384/78,043,992
  6. Step 6: Final answer
    x = 361,964,603.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.