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Finding the Third Proportional to 154,070,930 and 209,844,378

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Solution

The third proportional to 154,070,930 and 209,844,378 is: 285,807,731.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,070,930 : 209,844,378 = 209,844,378 : x
  2. Step 2: Convert to fraction form
    154,070,930/209,844,378 = 209,844,378/x
  3. Step 3: Cross multiply
    154,070,930x = 209,844,378 × 209,844,378
  4. Step 4: Simplify right side
    154,070,930x = 44,034,662,978,206,880
  5. Step 5: Solve for x
    x = 44,034,662,978,206,880/154,070,930
  6. Step 6: Final answer
    x = 285,807,731.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.