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Finding the Third Proportional to 78,270,684 and 166,012,548

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Solution

The third proportional to 78,270,684 and 166,012,548 is: 352,113,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,270,684 : 166,012,548 = 166,012,548 : x
  2. Step 2: Convert to fraction form
    78,270,684/166,012,548 = 166,012,548/x
  3. Step 3: Cross multiply
    78,270,684x = 166,012,548 × 166,012,548
  4. Step 4: Simplify right side
    78,270,684x = 27,560,166,093,452,304
  5. Step 5: Solve for x
    x = 27,560,166,093,452,304/78,270,684
  6. Step 6: Final answer
    x = 352,113,520.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.